What is the answer to 8/(x^{1/3)}-8=0 ?

The answer to 8/(x^{1/3)}-8=0 is x=1

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8/(x^{1/3)}-8=0

\frac{8}{x ^{\frac{1}{3}}} - 8 = 0

x = 1

Solution steps

\frac{8}{x ^{\frac{1}{3}}} - 8 = 0

Multiply both sides by

x^{\frac{1}{3}}

\frac{8}{x ^{\frac{1}{3}}} x^{\frac{1}{3}} - 8 x^{\frac{1}{3}} = 0 \cdot x^{\frac{1}{3}}

Simplify

8 - 8 x^{\frac{1}{3}} = 0

Move

8

to the right side

- 8 x^{\frac{1}{3}} = - 8

Divide both sides by

- 8

x^{\frac{1}{3}} = 1

Take both sides of the equation to the power of

3 : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

2 x - 4 - 3 x - 12 = 5 x - 16

x - 3 + 4 = 1

x + 4 = - 4

1 + 7 - 6 x = - 2 x