What is the answer to x^{5/3}=243 ?

The answer to x^{5/3}=243 is x=27

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x^{5/3}=243

x^{\frac{5}{3}} = 243

x = 27

Solution steps

x^{\frac{5}{3}} = 243

Take both sides of the equation to the power of

\frac{3}{5} : x = 27

x = 27

Verify Solutions:

x = 27

True

The solution is

x = 27

x^{2} + 4 = 3 x^{3} - 4 x

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

x + 5 - x = 1

x^{2} + 25 = x + 5

(x + 4)^{\frac{1}{2}} = 6