What is the answer to x^{-6/7}=64 ?

The answer to x^{-6/7}=64 is x= 1/128

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x^{-6/7}=64

x^{- \frac{6}{7}} = 64

x = \frac{1}{128}

Decimal Notation

x = 0.0078125

Solution steps

x^{- \frac{6}{7}} = 64

Take both sides of the equation to the power of

\frac{- 7}{6} : x = \frac{1}{128}

x = \frac{1}{128}

Verify Solutions:

x = \frac{1}{128}

True

The solution is

x = \frac{1}{128}

0 = 25 - 2.5 x^{2}

x - 4 = x - 6

110 - x^{- 1} = x^{- \frac{1}{2}}

x + 6 = 6 - 2 5 - x

9 b^{3} - 1 = 81