What is the answer to x^{5/2}=46 ?

The answer to x^{5/2}=46 is x=46^{2/5}

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x^{5/2}=46

x^{\frac{5}{2}} = 46

x = 4 6^{\frac{2}{5}}

Decimal Notation

x = 4.62490 \dots

Solution steps

x^{\frac{5}{2}} = 46

Take both sides of the equation to the power of

\frac{2}{5} : x = 4 6^{\frac{2}{5}}

x = 4 6^{\frac{2}{5}}

Verify Solutions:

x = 4 6^{\frac{2}{5}}

True

The solution is

x = 4 6^{\frac{2}{5}}

8 x = 100 + 11 x

x x = 5 (3) - 4 (3)

2 x - x + 5 = 0

0.81 - \frac{0.57}{x} = 0

0.2 = (1 + x)^{\frac{45}{360}} - 1