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Popular >

simplify (sqrt(41))^{3/2}

Solution

simplify

(41)^{\frac{3}{2}}

Solution

4 1^{\frac{3}{4}}

+1

Solution steps

(41)^{\frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 4 1^{\frac{1}{2} \cdot \frac{3}{2}}

\frac{1}{2} \cdot \frac{3}{2} = \frac{3}{4}

= 4 1^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is (sqrt(41))^{3/2} ?
The solution to (sqrt(41))^{3/2} is 41^{3/4}