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Popular >

simplify (sqrt(pi))^3

Solution

simplify

(π)^{3}

Solution

π^{\frac{3}{2}}

+1

Decimal Notation

5.56832 \dots

Solution steps

(π)^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= (π^{\frac{1}{2}})^{3}

Apply exponent rule:

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

= π^{\frac{1}{2} \cdot 3}

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

= π^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

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