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Popular >

simplify ((a^2)/(b^3))^4

Solution

simplify

(\frac{a ^{2}}{b ^{3}})^{4}

Solution

\frac{a ^{8}}{b ^{12}}

Solution steps

(\frac{a ^{2}}{b ^{3}})^{4}

Apply exponent rule:

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

= \frac{( a ^{2} ) ^{4}}{( b ^{3} ) ^{4}}

Simplify

(a^{2})^{4} : a^{8}

= \frac{a ^{8}}{( b ^{3} ) ^{4}}

Simplify

(b^{3})^{4} : b^{12}

= \frac{a ^{8}}{b ^{12}}

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Frequently Asked Questions (FAQ)

What is ((a^2)/(b^3))^4 ?
The solution to ((a^2)/(b^3))^4 is (a^8)/(b^{12)}