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Popular >

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

Solution

simplify

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

Solution

\frac{16 a ^{4}}{81 b ^{4}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(2 a)^{4} : 16 a^{4}

= \frac{16 a ^{4}}{( 3 b ) ^{4}}

Simplify

(3 b)^{4} : 81 b^{4}

= \frac{16 a ^{4}}{81 b ^{4}}

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Frequently Asked Questions (FAQ)

What is ((2a)/(3b))^4 ?
The solution to ((2a)/(3b))^4 is (16a^4)/(81b^4)