What is the answer to (x-5)^{2/3}=64 ?

The answer to (x-5)^{2/3}=64 is x=517,x=-507

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(x-5)^{2/3}=64

(x - 5)^{\frac{2}{3}} = 64

x = 517, x = - 507

Solution steps

(x - 5)^{\frac{2}{3}} = 64

Take both sides of the equation to the power of

3 : (x - 5)^{2} = 262144

(x - 5)^{2} = 262144

Solve

(x - 5)^{2} = 262144 : x = 517, x = - 507

x = 517, x = - 507

Verify Solutions:

x = 517

True

, x = - 507

True

The solutions are

x = 517, x = - 507

(x - 5)^{\frac{2}{3}} = 36

46 = 2 3 x

(x - 2)^{\frac{5}{2}} = 32

x^{- \frac{1}{2}} = 4

What is the answer to (x-5)^{2/3}=64 ?
The answer to (x-5)^{2/3}=64 is x=517,x=-507
Solve for x: (x-5)^{2/3}=64
The solution is x=517,x=-507