Why is $1/i$ equal to $-i$? – Mathematics Stack Exchange

July 25, 2026

Why is 1/i 1 / i $1/i$ equal to −i i $-i$? Ask Question Asked 11 years, 2 months ago Modified 1 year, 6 months ago Viewed 117k times 67

https://math.stackexchange.com/questions/1277038/why-is-1-i-equal-to-i

Why is $1/i$ equal to $-i$? – Mathematics Stack Exchange <body> <h1> Array ( [0] => qhy is $1/i$ equal to $-i$? – mathematics stack exchange [1] => ahy is $1/i$ equal to $-i$? – mathematics stack exchange [2] => shy is $1/i$ equal to $-i$? – mathematics stack exchange [3] => ehy is $1/i$ equal to $-i$? – mathematics stack exchange [4] => 3hy is $1/i$ equal to $-i$? – mathematics stack exchange [5] => 2hy is $1/i$ equal to $-i$? – mathematics stack exchange [6] => wgy is $1/i$ equal to $-i$? – mathematics stack exchange [7] => wby is $1/i$ equal to $-i$? – mathematics stack exchange [8] => wny is $1/i$ equal to $-i$? – mathematics stack exchange [9] => wjy is $1/i$ equal to $-i$? – mathematics stack exchange [10] => wuy is $1/i$ equal to $-i$? – mathematics stack exchange [11] => wyy is $1/i$ equal to $-i$? – mathematics stack exchange [12] => wht is $1/i$ equal to $-i$? – mathematics stack exchange [13] => whg is $1/i$ equal to $-i$? – mathematics stack exchange [14] => whh is $1/i$ equal to $-i$? – mathematics stack exchange [15] => whu is $1/i$ equal to $-i$? – mathematics stack exchange [16] => wh7 is $1/i$ equal to $-i$? – mathematics stack exchange [17] => wh6 is $1/i$ equal to $-i$? – mathematics stack exchange [18] => why us $1/i$ equal to $-i$? – mathematics stack exchange [19] => why js $1/i$ equal to $-i$? – mathematics stack exchange [20] => why ks $1/i$ equal to $-i$? – mathematics stack exchange [21] => why os $1/i$ equal to $-i$? – mathematics stack exchange [22] => why 9s $1/i$ equal to $-i$? – mathematics stack exchange [23] => why 8s $1/i$ equal to $-i$? – mathematics stack exchange [24] => why ia $1/i$ equal to $-i$? – mathematics stack exchange [25] => why iz $1/i$ equal to $-i$? – mathematics stack exchange [26] => why ix $1/i$ equal to $-i$? – mathematics stack exchange [27] => why id $1/i$ equal to $-i$? – mathematics stack exchange [28] => why ie $1/i$ equal to $-i$? – mathematics stack exchange [29] => why iw $1/i$ equal to $-i$? – mathematics stack exchange [30] => why is $2/i$ equal to $-i$? – mathematics stack exchange [31] => why is $q/i$ equal to $-i$? – mathematics stack exchange [32] => why is $1/u$ equal to $-i$? – mathematics stack exchange [33] => why is $1/j$ equal to $-i$? – mathematics stack exchange [34] => why is $1/k$ equal to $-i$? – mathematics stack exchange [35] => why is $1/o$ equal to $-i$? – mathematics stack exchange [36] => why is $1/9$ equal to $-i$? – mathematics stack exchange [37] => why is $1/8$ equal to $-i$? – mathematics stack exchange [38] => why is $1/i$ wqual to $-i$? – mathematics stack exchange [39] => why is $1/i$ squal to $-i$? – mathematics stack exchange [40] => why is $1/i$ dqual to $-i$? – mathematics stack exchange [41] => why is $1/i$ rqual to $-i$? – mathematics stack exchange [42] => why is $1/i$ 4qual to $-i$? – mathematics stack exchange [43] => why is $1/i$ 3qual to $-i$? – mathematics stack exchange [44] => why is $1/i$ e1ual to $-i$? – mathematics stack exchange [45] => why is $1/i$ e2ual to $-i$? – mathematics stack exchange [46] => why is $1/i$ ewual to $-i$? – mathematics stack exchange [47] => why is $1/i$ eaual to $-i$? – mathematics stack exchange [48] => why is $1/i$ eqyal to $-i$? – mathematics stack exchange [49] => why is $1/i$ eqhal to $-i$? – mathematics stack exchange [50] => why is $1/i$ eqjal to $-i$? – mathematics stack exchange [51] => why is $1/i$ eqial to $-i$? – mathematics stack exchange [52] => why is $1/i$ eq8al to $-i$? – mathematics stack exchange [53] => why is $1/i$ eq7al to $-i$? – mathematics stack exchange [54] => why is $1/i$ equzl to $-i$? – mathematics stack exchange [55] => why is $1/i$ equsl to $-i$? – mathematics stack exchange [56] => why is $1/i$ equwl to $-i$? – mathematics stack exchange [57] => why is $1/i$ equql to $-i$? – mathematics stack exchange [58] => why is $1/i$ equak to $-i$? – mathematics stack exchange [59] => why is $1/i$ equap to $-i$? – mathematics stack exchange [60] => why is $1/i$ equao to $-i$? – mathematics stack exchange [61] => why is $1/i$ equal ro $-i$? – mathematics stack exchange [62] => why is $1/i$ equal fo $-i$? – mathematics stack exchange [63] => why is $1/i$ equal go $-i$? – mathematics stack exchange [64] => why is $1/i$ equal yo $-i$? – mathematics stack exchange [65] => why is $1/i$ equal 6o $-i$? – mathematics stack exchange [66] => why is $1/i$ equal 5o $-i$? – mathematics stack exchange [67] => why is $1/i$ equal ti $-i$? – mathematics stack exchange [68] => why is $1/i$ equal tk $-i$? – mathematics stack exchange [69] => why is $1/i$ equal tl $-i$? – mathematics stack exchange [70] => why is $1/i$ equal tp $-i$? – mathematics stack exchange [71] => why is $1/i$ equal t0 $-i$? – mathematics stack exchange [72] => why is $1/i$ equal t9 $-i$? – mathematics stack exchange [73] => why is $1/i$ equal to $=i$? – mathematics stack exchange [74] => why is $1/i$ equal to $0i$? – mathematics stack exchange [75] => why is $1/i$ equal to $pi$? – mathematics stack exchange [76] => why is $1/i$ equal to $[i$? – mathematics stack exchange [77] => why is $1/i$ equal to $-u$? – mathematics stack exchange [78] => why is $1/i$ equal to $-j$? – mathematics stack exchange [79] => why is $1/i$ equal to $-k$? – mathematics stack exchange [80] => why is $1/i$ equal to $-o$? – mathematics stack exchange [81] => why is $1/i$ equal to $-9$? – mathematics stack exchange [82] => why is $1/i$ equal to $-8$? – mathematics stack exchange [83] => why is $1/i$ equal to $-i$/ – mathematics stack exchange [84] => why is $1/i$ equal to $-i$> – mathematics stack exchange [85] => why is $1/i$ equal to $-i$; – mathematics stack exchange [86] => why is $1/i$ equal to $-i$' – mathematics stack exchange [87] => why is $1/i$ equal to $-i$? ᰫ mathematics stack exchange [88] => why is $1/i$ equal to $-i$? &#u211; mathematics stack exchange [89] => why is $1/i$ equal to $-i$? &#i211; mathematics stack exchange [90] => why is $1/i$ equal to $-i$? ⏻ mathematics stack exchange [91] => why is $1/i$ equal to $-i$? ᾯ mathematics stack exchange [92] => why is $1/i$ equal to $-i$? &#8q11; mathematics stack exchange [93] => why is $1/i$ equal to $-i$? &#8w11; mathematics stack exchange [94] => why is $1/i$ equal to $-i$? ⁷ mathematics stack exchange [95] => why is $1/i$ equal to $-i$? ” mathematics stack exchange [96] => why is $1/i$ equal to $-i$? &#82q1; mathematics stack exchange [97] => why is $1/i$ equal to $-i$? — mathematics stack exchange [98] => why is $1/i$ equal to $-i$? &#821q; mathematics stack exchange [99] => why is $1/i$ equal to $-i$? &#8211l mathematics stack exchange [100] => why is $1/i$ equal to $-i$? &#8211p mathematics stack exchange [101] => why is $1/i$ equal to $-i$? &#8211. mathematics stack exchange [102] => why is $1/i$ equal to $-i$? – nathematics stack exchange [103] => why is $1/i$ equal to $-i$? – kathematics stack exchange [104] => why is $1/i$ equal to $-i$? – jathematics stack exchange [105] => why is $1/i$ equal to $-i$? – jathematics stack exchange [106] => why is $1/i$ equal to $-i$? – mzthematics stack exchange [107] => why is $1/i$ equal to $-i$? – msthematics stack exchange [108] => why is $1/i$ equal to $-i$? – mwthematics stack exchange [109] => why is $1/i$ equal to $-i$? – mqthematics stack exchange [110] => why is $1/i$ equal to $-i$? – marhematics stack exchange [111] => why is $1/i$ equal to $-i$? – mafhematics stack exchange [112] => why is $1/i$ equal to $-i$? – maghematics stack exchange [113] => why is $1/i$ equal to $-i$? – mayhematics stack exchange [114] => why is $1/i$ equal to $-i$? – ma6hematics stack exchange [115] => why is $1/i$ equal to $-i$? – ma5hematics stack exchange [116] => why is $1/i$ equal to $-i$? – matgematics stack exchange [117] => why is $1/i$ equal to $-i$? – matbematics stack exchange [118] => why is $1/i$ equal to $-i$? – matnematics stack exchange [119] => why is $1/i$ equal to $-i$? – matjematics stack exchange [120] => why is $1/i$ equal to $-i$? – matuematics stack exchange [121] => why is $1/i$ equal to $-i$? – matyematics stack exchange [122] => why is $1/i$ equal to $-i$? – mathwmatics stack exchange [123] => why is $1/i$ equal to $-i$? – mathsmatics stack exchange [124] => why is $1/i$ equal to $-i$? – mathdmatics stack exchange [125] => why is $1/i$ equal to $-i$? – mathrmatics stack exchange [126] => why is $1/i$ equal to $-i$? – math4matics stack exchange [127] => why is $1/i$ equal to $-i$? – math3matics stack exchange [128] => why is $1/i$ equal to $-i$? – mathenatics stack exchange [129] => why is $1/i$ equal to $-i$? – mathekatics stack exchange [130] => why is $1/i$ equal to $-i$? – mathejatics stack exchange [131] => why is $1/i$ equal to $-i$? – mathejatics stack exchange [132] => why is $1/i$ equal to $-i$? – mathemztics stack exchange [133] => why is $1/i$ equal to $-i$? – mathemstics stack exchange [134] => why is $1/i$ equal to $-i$? – mathemwtics stack exchange [135] => why is $1/i$ equal to $-i$? – mathemqtics stack exchange [136] => why is $1/i$ equal to $-i$? – mathemarics stack exchange [137] => why is $1/i$ equal to $-i$? – mathemafics stack exchange [138] => why is $1/i$ equal to $-i$? – mathemagics stack exchange [139] => why is $1/i$ equal to $-i$? – mathemayics stack exchange [140] => why is $1/i$ equal to $-i$? – mathema6ics stack exchange [141] => why is $1/i$ equal to $-i$? – mathema5ics stack exchange [142] => why is $1/i$ equal to $-i$? – mathematucs stack exchange [143] => why is $1/i$ equal to $-i$? – mathematjcs stack exchange [144] => why is $1/i$ equal to $-i$? – mathematkcs stack exchange [145] => why is $1/i$ equal to $-i$? – mathematocs stack exchange [146] => why is $1/i$ equal to $-i$? – mathemat9cs stack exchange [147] => why is $1/i$ equal to $-i$? – mathemat8cs stack exchange [148] => why is $1/i$ equal to $-i$? – mathematixs stack exchange [149] => why is $1/i$ equal to $-i$? – mathemativs stack exchange [150] => why is $1/i$ equal to $-i$? – mathematifs stack exchange [151] => why is $1/i$ equal to $-i$? – mathematids stack exchange [152] => why is $1/i$ equal to $-i$? – mathematids stack exchange [153] => why is $1/i$ equal to $-i$? – mathematica stack exchange [154] => why is $1/i$ equal to $-i$? – mathematicz stack exchange [155] => why is $1/i$ equal to $-i$? – mathematicx stack exchange [156] => why is $1/i$ equal to $-i$? – mathematicd stack exchange [157] => why is $1/i$ equal to $-i$? – mathematice stack exchange [158] => why is $1/i$ equal to $-i$? – mathematicw stack exchange [159] => why is $1/i$ equal to $-i$? – mathematics atack exchange [160] => why is $1/i$ equal to $-i$? – mathematics ztack exchange [161] => why is $1/i$ equal to $-i$? – mathematics xtack exchange [162] => why is $1/i$ equal to $-i$? – mathematics dtack exchange [163] => why is $1/i$ equal to $-i$? – mathematics etack exchange [164] => why is $1/i$ equal to $-i$? – mathematics wtack exchange [165] => why is $1/i$ equal to $-i$? – mathematics srack exchange [166] => why is $1/i$ equal to $-i$? – mathematics sfack exchange [167] => why is $1/i$ equal to $-i$? – mathematics sgack exchange [168] => why is $1/i$ equal to $-i$? – mathematics syack exchange [169] => why is $1/i$ equal to $-i$? – mathematics s6ack exchange [170] => why is $1/i$ equal to $-i$? – mathematics s5ack exchange [171] => why is $1/i$ equal to $-i$? – mathematics stzck exchange [172] => why is $1/i$ equal to $-i$? – mathematics stsck exchange [173] => why is $1/i$ equal to $-i$? – mathematics stwck exchange [174] => why is $1/i$ equal to $-i$? – mathematics stqck exchange [175] => why is $1/i$ equal to $-i$? – mathematics staxk exchange [176] => why is $1/i$ equal to $-i$? – mathematics stavk exchange [177] => why is $1/i$ equal to $-i$? – mathematics stafk exchange [178] => why is $1/i$ equal to $-i$? – mathematics stadk exchange [179] => why is $1/i$ equal to $-i$? – mathematics stadk exchange [180] => why is $1/i$ equal to $-i$? – mathematics stacj exchange [181] => why is $1/i$ equal to $-i$? – mathematics stacm exchange [182] => why is $1/i$ equal to $-i$? – mathematics stacl exchange [183] => why is $1/i$ equal to $-i$? – mathematics staco exchange [184] => why is $1/i$ equal to $-i$? – mathematics staci exchange [185] => why is $1/i$ equal to $-i$? – mathematics stack wxchange [186] => why is $1/i$ equal to $-i$? – mathematics stack sxchange [187] => why is $1/i$ equal to $-i$? – mathematics stack dxchange [188] => why is $1/i$ equal to $-i$? – mathematics stack rxchange [189] => why is $1/i$ equal to $-i$? – mathematics stack 4xchange [190] => why is $1/i$ equal to $-i$? – mathematics stack 3xchange [191] => why is $1/i$ equal to $-i$? – mathematics stack ezchange [192] => why is $1/i$ equal to $-i$? – mathematics stack ecchange [193] => why is $1/i$ equal to $-i$? – mathematics stack edchange [194] => why is $1/i$ equal to $-i$? – mathematics stack eschange [195] => why is $1/i$ equal to $-i$? – mathematics stack exxhange [196] => why is $1/i$ equal to $-i$? – mathematics stack exvhange [197] => why is $1/i$ equal to $-i$? – mathematics stack exfhange [198] => why is $1/i$ equal to $-i$? – mathematics stack exdhange [199] => why is $1/i$ equal to $-i$? – mathematics stack exdhange [200] => why is $1/i$ equal to $-i$? – mathematics stack excgange [201] => why is $1/i$ equal to $-i$? – mathematics stack excbange [202] => why is $1/i$ equal to $-i$? – mathematics stack excnange [203] => why is $1/i$ equal to $-i$? – mathematics stack excjange [204] => why is $1/i$ equal to $-i$? – mathematics stack excuange [205] => why is $1/i$ equal to $-i$? – mathematics stack excyange [206] => why is $1/i$ equal to $-i$? – mathematics stack exchznge [207] => why is $1/i$ equal to $-i$? – mathematics stack exchsnge [208] => why is $1/i$ equal to $-i$? – mathematics stack exchwnge [209] => why is $1/i$ equal to $-i$? – mathematics stack exchqnge [210] => why is $1/i$ equal to $-i$? – mathematics stack exchabge [211] => why is $1/i$ equal to $-i$? – mathematics stack exchamge [212] => why is $1/i$ equal to $-i$? – mathematics stack exchajge [213] => why is $1/i$ equal to $-i$? – mathematics stack exchahge [214] => why is $1/i$ equal to $-i$? – mathematics stack exchahge [215] => why is $1/i$ equal to $-i$? – mathematics stack exchanfe [216] => why is $1/i$ equal to $-i$? – mathematics stack exchanve [217] => why is $1/i$ equal to $-i$? – mathematics stack exchanbe [218] => why is $1/i$ equal to $-i$? – mathematics stack exchanhe [219] => why is $1/i$ equal to $-i$? – mathematics stack exchanye [220] => why is $1/i$ equal to $-i$? – mathematics stack exchante [221] => why is $1/i$ equal to $-i$? – mathematics stack exchangw [222] => why is $1/i$ equal to $-i$? – mathematics stack exchangs [223] => why is $1/i$ equal to $-i$? – mathematics stack exchangd [224] => why is $1/i$ equal to $-i$? – mathematics stack exchangr [225] => why is $1/i$ equal to $-i$? – mathematics stack exchang4 [226] => why is $1/i$ equal to $-i$? – mathematics stack exchang3 ) </h1> </body>