What is the answer to x^{-2/3}= 1/9 ?

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

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x^{-2/3}= 1/9

x^{- \frac{2}{3}} = \frac{1}{9}

x = 27, x = - 27

Solution steps

x^{- \frac{2}{3}} = \frac{1}{9}

Take both sides of the equation to the power of

- 3 : x^{2} = 729

x^{2} = 729

Solve

x^{2} = 729 : x = 27, x = - 27

x = 27, x = - 27

Verify Solutions:

x = 27

True

, x = - 27

True

The solutions are

x = 27, x = - 27

x, x^{2} - 9 = 0

3 x^{\frac{4}{3}} = 0

7 = 3 x + 3 + 6 x + 4

x + 4 - x - 5 = 3

4 x = \frac{2}{5} x