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Popular >

simplify [(pi)^{3/2}]^{5/4}

Solution

simplify

[(π)^{\frac{3}{2}}]^{\frac{5}{4}}

Solution

π^{\frac{15}{8}}

+1

Solution steps

[(π)^{\frac{3}{2}}]^{\frac{5}{4}}

Apply exponent rule:

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

= π^{\frac{3}{2} \cdot \frac{5}{4}}

\frac{3}{2} \cdot \frac{5}{4} = \frac{15}{8}

= π^{\frac{15}{8}}

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Frequently Asked Questions (FAQ)

What is [(pi)^{3/2}]^{5/4} ?
The solution to [(pi)^{3/2}]^{5/4} is pi^{15/8}