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Popular >

simplify (9/4)^{5/2}

Solution

simplify

(\frac{9}{4})^{\frac{5}{2}}

Solution

\frac{243}{32}

+1

Solution steps

(\frac{9}{4})^{\frac{5}{2}}

Apply exponent rule:

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

= \frac{9 ^{\frac{5}{2}}}{4 ^{\frac{5}{2}}}

9^{\frac{5}{2}} = 243

= \frac{243}{4 ^{\frac{5}{2}}}

4^{\frac{5}{2}} = 32

= \frac{243}{32}

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Frequently Asked Questions (FAQ)

What is (9/4)^{5/2} ?
The solution to (9/4)^{5/2} is 243/32