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Popular >

simplify (125/64)^{2/3}

Solution

simplify

(\frac{125}{64})^{\frac{2}{3}}

Solution

\frac{25}{16}

+1

Decimal Notation

1.5625

Solution steps

(\frac{125}{64})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{12 5 ^{\frac{2}{3}}}{6 4 ^{\frac{2}{3}}}

12 5^{\frac{2}{3}} = 25

= \frac{25}{6 4 ^{\frac{2}{3}}}

6 4^{\frac{2}{3}} = 16

= \frac{25}{16}

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Frequently Asked Questions (FAQ)

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