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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Simplify

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

= \frac{a ^{9}}{( 2 b ^{3} ) ^{3}}

Simplify

(2 b^{3})^{3} : 8 b^{9}

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

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Frequently Asked Questions (FAQ)

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