What is the answer to 4x^{3/2}=32 ?

The answer to 4x^{3/2}=32 is x=4

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4x^{3/2}=32

4 x^{\frac{3}{2}} = 32

x = 4

Solution steps

4 x^{\frac{3}{2}} = 32

Divide both sides by

4

x^{\frac{3}{2}} = 8

Take both sides of the equation to the power of

2 : x^{3} = 64

x^{3} = 64

Solve

x^{3} = 64 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

5 + 8 x = 12

x - 5 + 3 x + 7 = 10

x^{0.5822} = 1.11

x - 8 = 2 x - 32

x + 3 + 6 = 3