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Popular >

simplify (64/25)^{3/2}

Solution

simplify

(\frac{64}{25})^{\frac{3}{2}}

Solution

\frac{512}{125}

+1

Decimal Notation

4.096

Solution steps

(\frac{64}{25})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{6 4 ^{\frac{3}{2}}}{2 5 ^{\frac{3}{2}}}

6 4^{\frac{3}{2}} = 512

= \frac{512}{2 5 ^{\frac{3}{2}}}

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

= \frac{512}{125}

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Frequently Asked Questions (FAQ)

What is (64/25)^{3/2} ?
The solution to (64/25)^{3/2} is 512/125