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

The answer to 4=r^{2/3} is r=8,r=-8

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4=r^{2/3}

4 = r^{\frac{2}{3}}

r = 8, r = - 8

Solution steps

4 = r^{\frac{2}{3}}

Take both sides of the equation to the power of

3 : 64 = r^{2}

64 = r^{2}

Solve

64 = r^{2} : r = 8, r = - 8

r = 8, r = - 8

Verify Solutions:

r = 8

True

, r = - 8

True

The solutions are

r = 8, r = - 8

(x^{2} + 4)^{\frac{2}{3}} = 25

2 x + 4 - x = 2

x + 1 + x - 2 = 0

x = 3 x + 10

8 x + 36 + 6 = x