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Popular >

simplify (25/4)^{3/2}

Solution

simplify

(\frac{25}{4})^{\frac{3}{2}}

Solution

\frac{125}{8}

+1

Decimal Notation

15.625

Solution steps

(\frac{25}{4})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{2 5 ^{\frac{3}{2}}}{4 ^{\frac{3}{2}}}

2 5^{\frac{3}{2}} = 125

= \frac{125}{4 ^{\frac{3}{2}}}

4^{\frac{3}{2}} = 8

= \frac{125}{8}

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Frequently Asked Questions (FAQ)

What is (25/4)^{3/2} ?
The solution to (25/4)^{3/2} is 125/8