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

The answer to (x-2)^{2/3}=64 is x=514,x=-510

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

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

x = 514, x = - 510

Solution steps

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

Take both sides of the equation to the power of

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

(x - 2)^{2} = 262144

Solve

(x - 2)^{2} = 262144 : x = 514, x = - 510

x = 514, x = - 510

Verify Solutions:

x = 514

True

, x = - 510

True

The solutions are

x = 514, x = - 510

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

x, y - 5 = - 3 x + 1

- 3 x + 10 = x

What is the answer to (x-2)^{2/3}=64 ?
The answer to (x-2)^{2/3}=64 is x=514,x=-510
Solve for x: (x-2)^{2/3}=64
The solution is x=514,x=-510