What is the answer to x^{-2/3}=7 1/9 ?

The answer to x^{-2/3}=7 1/9 is x= 27/512 ,x=-27/512

Solve for x: x^{-2/3}=7 1/9

The solution is x= 27/512 ,x=-27/512

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x^{- \frac{2}{3}} = 7 \frac{1}{9}

x = \frac{27}{512}, x = - \frac{27}{512}

Decimal Notation

x = 0.052734375, x = - 0.052734375

Solution steps

x^{- \frac{2}{3}} = 7 \frac{1}{9}

Convert mixed numbers to improper fractions:

7 \frac{1}{9} = \frac{64}{9}

x^{- \frac{2}{3}} = \frac{64}{9}

Take both sides of the equation to the power of

- 3 : x^{2} = \frac{729}{262144}

x^{2} = \frac{729}{262144}

Solve

x^{2} = \frac{729}{262144} : x = \frac{27}{512}, x = - \frac{27}{512}

x = \frac{27}{512}, x = - \frac{27}{512}

Verify Solutions:

x = \frac{27}{512}

True

, x = - \frac{27}{512}

True

The solutions are

x = \frac{27}{512}, x = - \frac{27}{512}

5 x + 9 + 3 = x

5 x + 6 = 6

x + 2 = x - 4

y = - 4 y + 21

What is the answer to x^{-2/3}=7 1/9 ?
The answer to x^{-2/3}=7 1/9 is x= 27/512 ,x=-27/512
Solve for x: x^{-2/3}=7 1/9
The solution is x= 27/512 ,x=-27/512