What is the answer to x^{(-3)/2}= 1/27 ?

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

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x^{(-3)/2}= 1/27

x^{\frac{- 3}{2}} = \frac{1}{27}

x = 9

Solution steps

x^{\frac{- 3}{2}} = \frac{1}{27}

Take both sides of the equation to the power of

- 2 : x^{3} = 729

x^{3} = 729

Solve

x^{3} = 729 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

x^{2} + 2 x + 1 = 0

x^{\frac{3}{4}} = 16

(r^{2} + x^{2})^{\frac{3}{2}} = 8 r^{3}

x^{\frac{1}{3}} + 16 = 0

2 x^{2} + 7 x - 7 = 0