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Popular >

simplify ((27x^3)/(64))^{2/3}

Solution

simplify

(\frac{27 x ^{3}}{64})^{\frac{2}{3}}

Solution

\frac{9 x ^{2}}{16}

Solution steps

(\frac{27 x ^{3}}{64})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{( 27 x ^{3} ) ^{\frac{2}{3}}}{6 4 ^{\frac{2}{3}}}

Simplify

(27 x^{3})^{\frac{2}{3}} : 9 x^{2}

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

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

= \frac{9 x ^{2}}{16}

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Frequently Asked Questions (FAQ)

What is ((27x^3)/(64))^{2/3} ?
The solution to ((27x^3)/(64))^{2/3} is (9x^2)/(16)