What is the answer to (x-27)^{3/2}=64 ?

The answer to (x-27)^{3/2}=64 is x=43

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(x-27)^{3/2}=64

(x - 27)^{\frac{3}{2}} = 64

x = 43

Solution steps

(x - 27)^{\frac{3}{2}} = 64

Take both sides of the equation to the power of

2 : (x - 27)^{3} = 4096

(x - 27)^{3} = 4096

Solve

(x - 27)^{3} = 4096 : x = 43

x = 43

Verify Solutions:

x = 43

True

The solution is

x = 43

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