what is the value of x if x to the negative 3 is 8?

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2007-09-10 03:25:39 · 5 answers · asked by gssheng2000 1 in Science & Mathematics ➔ Mathematics

1/2

x ^ -3 = 8

1 / x^3 = 8

x ^3 = 1 / 8

x = 1/2

2007-09-10 03:34:24 · answer #1 · answered by Clinically Insane 3 · 0⤊ 0⤋

x^(-3) = 8 --> 1/x^3 = 8 --> x^3 = 1/8 --> x=(1/8)^(1/3)

Therefore, x = 1/2

Remember that 8 = 2^3 so the cubic root of 8, 8^1/3 = 2

2007-09-10 03:38:58 · answer #2 · answered by Anthony P - Greece 2 · 0⤊ 0⤋

x ^-3 = 8
1/x^3 = 8
1/x = cube root of 8 = 2
x = 1/2

2007-09-10 03:39:39 · answer #3 · answered by Cricket hues 3 · 0⤊ 0⤋

1 / x Â³ = 8
x Â³ = 1 / 8
x = 1 / 2

2007-09-13 19:34:56 · answer #4 · answered by Como 7 · 0⤊ 0⤋

x^(-3)=8/1
x^3=1/8
x=1/2.ANS.

2007-09-10 03:32:56 · answer #5 · answered by Anonymous · 0⤊ 0⤋