What is the answer to x^{-2/3}=4 ?

The answer to x^{-2/3}=4 is x= 1/8 ,x=-1/8

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x^{-2/3}=4

x^{- \frac{2}{3}} = 4

x = \frac{1}{8}, x = - \frac{1}{8}

Decimal Notation

x = 0.125, x = - 0.125

Solution steps

x^{- \frac{2}{3}} = 4

Take both sides of the equation to the power of

- 3 : x^{2} = \frac{1}{64}

x^{2} = \frac{1}{64}

Solve

x^{2} = \frac{1}{64} : x = \frac{1}{8}, x = - \frac{1}{8}

x = \frac{1}{8}, x = - \frac{1}{8}

Verify Solutions:

x = \frac{1}{8}

True

, x = - \frac{1}{8}

True

The solutions are

x = \frac{1}{8}, x = - \frac{1}{8}

(x) = x

- 36 - 9 x + 4 = x

2 y^{2} + 1 = \frac{6}{y}

2 x + 8 = 6

2 x + 8 = 5