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Popular >

simplify (25/16)^{3/2}

Solution

simplify

(\frac{25}{16})^{\frac{3}{2}}

Solution

\frac{125}{64}

+1

Solution steps

(\frac{25}{16})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{2 5 ^{\frac{3}{2}}}{1 6 ^{\frac{3}{2}}}

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

= \frac{125}{1 6 ^{\frac{3}{2}}}

1 6^{\frac{3}{2}} = 64

= \frac{125}{64}

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Frequently Asked Questions (FAQ)

What is (25/16)^{3/2} ?
The solution to (25/16)^{3/2} is 125/64