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Popular >

simplify ((2a^2)/(b^3))^3

Solution

simplify

(\frac{2 a ^{2}}{b ^{3}})^{3}

Solution

\frac{8 a ^{6}}{b ^{9}}

Solution steps

(\frac{2 a ^{2}}{b ^{3}})^{3}

Apply exponent rule:

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

= \frac{( 2 a ^{2} ) ^{3}}{( b ^{3} ) ^{3}}

Simplify

(2 a^{2})^{3} : 8 a^{6}

= \frac{8 a ^{6}}{( b ^{3} ) ^{3}}

Simplify

(b^{3})^{3} : b^{9}

= \frac{8 a ^{6}}{b ^{9}}

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Frequently Asked Questions (FAQ)

What is ((2a^2)/(b^3))^3 ?
The solution to ((2a^2)/(b^3))^3 is (8a^6)/(b^9)