What is the answer to x^{-2/3}-4=0 ?

The answer to x^{-2/3}-4=0 is x= 1/8 ,x=-1/8

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x^{-2/3}-4=0

x^{- \frac{2}{3}} - 4 = 0

x = \frac{1}{8}, x = - \frac{1}{8}

Decimal Notation

x = 0.125, x = - 0.125

Solution steps

x^{- \frac{2}{3}} - 4 = 0

Expand

x^{- \frac{2}{3}} - 4 : \frac{1}{x ^{\frac{2}{3}}} - 4

\frac{1}{x ^{\frac{2}{3}}} - 4 = 0

Remove roots

\frac{1}{x ^{2}} = 64

Solve

\frac{1}{x ^{2}} = 64 : x = \frac{1}{8}, x = - \frac{1}{8}

x = \frac{1}{8}, x = - \frac{1}{8}

Verify Solutions:

x = \frac{1}{8}

True

, x = - \frac{1}{8}

True

The solutions are

x = \frac{1}{8}, x = - \frac{1}{8}

x + 6 = x

5 x + 1 = 9

5 x + 5 = 4 x + 1

20.5 x + 4 - 41 = 0.02 x^{3} + 10.4

What is the answer to x^{-2/3}-4=0 ?
The answer to x^{-2/3}-4=0 is x= 1/8 ,x=-1/8
Solve for x: x^{-2/3}-4=0
The solution is x= 1/8 ,x=-1/8