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

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

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solvefor x,x^{-2/3}=9

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

x = \frac{1}{27}, x = - \frac{1}{27}

Decimal Notation

x = 0.03703 \dots, x = - 0.03703 \dots

Solution steps

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

Take both sides of the equation to the power of

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

x^{2} = \frac{1}{729}

Solve

x^{2} = \frac{1}{729} : x = \frac{1}{27}, x = - \frac{1}{27}

x = \frac{1}{27}, x = - \frac{1}{27}

Verify Solutions:

x = \frac{1}{27}

True

, x = - \frac{1}{27}

True

The solutions are

x = \frac{1}{27}, x = - \frac{1}{27}

3 = k

9 x^{2} + 4 = 3 x + 2

x, v = 16 x - 2 x^{2}

4 x - 23 = x - 5

x + 4 + 1 = \frac{x - 9}{2}

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