What is the answer to x^{-1/3}=32x^{-2} ?

The answer to x^{-1/3}=32x^{-2} is x=8

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x^{-1/3}=32x^{-2}

x^{- \frac{1}{3}} = 32 x^{- 2}

x = 8

Solution steps

x^{- \frac{1}{3}} = 32 x^{- 2}

Expand

32 x^{- 2} : \frac{32}{x ^{2}}

x^{- \frac{1}{3}} = \frac{32}{x ^{2}}

Take both sides of the equation to the power of

- 3 : x = \frac{x ^{6}}{32768}

x = \frac{x ^{6}}{32768}

Solve

x = \frac{x ^{6}}{32768} : x = 0, x = 8

x = 0, x = 8

Verify Solutions:

x = 0

False

, x = 8

True

The solution is

x = 8

(x - 4) = 3 x + 5

3 = b - 1

- 5 x - 1 + 5 x + 3 = 2

x = 16

y, x = 2 y

What is the answer to x^{-1/3}=32x^{-2} ?
The answer to x^{-1/3}=32x^{-2} is x=8
Solve for x: x^{-1/3}=32x^{-2}
The solution is x=8