What is the answer to x^{7/3}=128 ?

The answer to x^{7/3}=128 is x=8

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x^{7/3}=128

x^{\frac{7}{3}} = 128

x = 8

Solution steps

x^{\frac{7}{3}} = 128

Take both sides of the equation to the power of

\frac{3}{7} : x = 8

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

x - 5 x + 3 = 3

(x - 4)^{\frac{2}{3}} = 36

(x - 4)^{\frac{2}{3}} = 81

y, x = 2 7 y

x^{\frac{3}{2}} = 2