If x to the power of -3 equals to 1 over 64, what is x?

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Guest Sep 16, 2014

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Best Answer

x^-3 = 1/(x³)

So

1/(x³) = 1/64 and if two fractions are equal, their reciprocals are also equal

So

x³ = 64 take the cube root of both sides

x = (64)^1/3 = 4

CPhill Sep 16, 2014

CPhill · Answer 1 · 2014-09-16T10:26:25

x^-3 = 1/(x³)

So

1/(x³) = 1/64 and if two fractions are equal, their reciprocals are also equal

So

x³ = 64 take the cube root of both sides

x = (64)^1/3 = 4