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Popular >

simplify ((4x^2)/(5y^3))^3

Solution

simplify

(\frac{4 x ^{2}}{5 y ^{3}})^{3}

Solution

\frac{64 x ^{6}}{125 y ^{9}}

Solution steps

(\frac{4 x ^{2}}{5 y ^{3}})^{3}

Apply exponent rule:

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

= \frac{( 4 x ^{2} ) ^{3}}{( 5 y ^{3} ) ^{3}}

Simplify

(4 x^{2})^{3} : 64 x^{6}

= \frac{64 x ^{6}}{( 5 y ^{3} ) ^{3}}

Simplify

(5 y^{3})^{3} : 125 y^{9}

= \frac{64 x ^{6}}{125 y ^{9}}

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Frequently Asked Questions (FAQ)

What is ((4x^2)/(5y^3))^3 ?
The solution to ((4x^2)/(5y^3))^3 is (64x^6)/(125y^9)