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

The answer to (x^2)^{3/2}=x is x=0,x=1

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(x^2)^{3/2}=x

(x^{2})^{\frac{3}{2}} = x

x = 0, x = 1

Solution steps

(x^{2})^{\frac{3}{2}} = x

Take both sides of the equation to the power of

2 : x^{6} = x^{2}

x^{6} = x^{2}

Solve

x^{6} = x^{2} : x = 0, x = 1, x = - 1

x = 0, x = 1, x = - 1

Verify Solutions:

x = 0

True

, x = 1

True

, x = - 1

False

The solutions are

x = 0, x = 1

7 x - 6 - 9 = 3 x - 31

7 x + 2 = 4

a a = 343

x, y = x^{2} - C x

x - 16 x^{\frac{1}{2}} - 512 = 0