What is the answer to x^2x^{2/3}=256 ?

The answer to x^2x^{2/3}=256 is x=8,x=-8

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x^2x^{2/3}=256

x^{2} x^{\frac{2}{3}} = 256

x = 8, x = - 8

Solution steps

x^{2} x^{\frac{2}{3}} = 256

Take both sides of the equation to the power of

3 : x^{8} = 16777216

x^{8} = 16777216

Solve

x^{8} = 16777216 : x = 8, x = - 8

x = 8, x = - 8

Verify Solutions:

x = 8

True

, x = - 8

True

The solutions are

x = 8, x = - 8

x + 3 = 2 - 3 x + 2

x^{2} + 2 x - 7 + x^{3} - 30 = 0

x - 7 = 20 x + 49

4 - x - - 2 x + 7 = - 2

(x^{2} - 13)^{\frac{1}{2}} = 6