What is the answer to x^{4/3}=256 ?

The answer to x^{4/3}=256 is x=64,x=-64

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x^{4/3}=256

x^{\frac{4}{3}} = 256

x = 64, x = - 64

Solution steps

x^{\frac{4}{3}} = 256

Take both sides of the equation to the power of

3 : x^{4} = 16777216

x^{4} = 16777216

Solve

x^{4} = 16777216 : x = 64, x = - 64

x = 64, x = - 64

Verify Solutions:

x = 64

True

, x = - 64

True

The solutions are

x = 64, x = - 64

0 = x^{2} + 1

4 - x = x^{2} - 8

(x - 7)^{2} + (- 1 - 3)^{2} = 5

x^{2} + 1 - \frac{1}{2} = x

x + 1 - 4 x - 3 = 1