What is the answer to x^{(-3)/2}=8 ?

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

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x^{(-3)/2}=8

x^{\frac{- 3}{2}} = 8

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

x^{\frac{- 3}{2}} = 8

Take both sides of the equation to the power of

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

x^{3} = \frac{1}{64}

Solve

x^{3} = \frac{1}{64} : x = \frac{1}{4}

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

k + 9 - k = 3

y^{\frac{4}{3}} = - 4 y

3 4 x + 4 = 48

3 x + 1 = x + 3

3 x + 14 = 41