What is the answer to (w+3)^{3/4}+2=66 ?

The answer to (w+3)^{3/4}+2=66 is w=253

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(w+3)^{3/4}+2=66

(w + 3)^{\frac{3}{4}} + 2 = 66

w = 253

Solution steps

(w + 3)^{\frac{3}{4}} + 2 = 66

Move

2

to the right side

(w + 3)^{\frac{3}{4}} = 64

Take both sides of the equation to the power of

4 : (w + 3)^{3} = 16777216

(w + 3)^{3} = 16777216

Solve

(w + 3)^{3} = 16777216 : w = 253

w = 253

Verify Solutions:

w = 253

True

The solution is

w = 253

6 x - 3 = 9

x + 1 = 1

x + 1 = x - 1 + 1

x^{2} - 1 = - 1

x - 8 - 3 = 3

What is the answer to (w+3)^{3/4}+2=66 ?
The answer to (w+3)^{3/4}+2=66 is w=253
Solve for w: (w+3)^{3/4}+2=66
The solution is w=253