What is the answer to x^{-3/2}=27 ?

The answer to x^{-3/2}=27 is x= 1/9

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x^{-3/2}=27

x^{- \frac{3}{2}} = 27

x = \frac{1}{9}

Decimal Notation

x = 0.11111 \dots

Solution steps

x^{- \frac{3}{2}} = 27

Take both sides of the equation to the power of

- 2 : x^{3} = \frac{1}{729}

x^{3} = \frac{1}{729}

Solve

x^{3} = \frac{1}{729} : x = \frac{1}{9}

x = \frac{1}{9}

Verify Solutions:

x = \frac{1}{9}

True

The solution is

x = \frac{1}{9}

44 - 10 x = x - 6

0 = x - 2

0 = x - 1

x, x - y = π

(x - 10)^{\frac{3}{2}} = 64