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Popular >

simplify (49/64)^{3/2}

Solution

simplify

(\frac{49}{64})^{\frac{3}{2}}

Solution

\frac{343}{512}

+1

Decimal Notation

0.669921875

Solution steps

(\frac{49}{64})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{4 9 ^{\frac{3}{2}}}{6 4 ^{\frac{3}{2}}}

4 9^{\frac{3}{2}} = 343

= \frac{343}{6 4 ^{\frac{3}{2}}}

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

= \frac{343}{512}

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Frequently Asked Questions (FAQ)

What is (49/64)^{3/2} ?
The solution to (49/64)^{3/2} is 343/512