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Popular >

simplify ((6a)/(3b))^5

Solution

simplify

(\frac{6 a}{3 b})^{5}

Solution

\frac{32 a ^{5}}{b ^{5}}

Solution steps

(\frac{6 a}{3 b})^{5}

Apply exponent rule:

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

= \frac{( 6 a ) ^{5}}{( 3 b ) ^{5}}

Simplify

(6 a)^{5} : 7776 a^{5}

= \frac{7776 a ^{5}}{( 3 b ) ^{5}}

Simplify

(3 b)^{5} : 243 b^{5}

= \frac{7776 a ^{5}}{243 b ^{5}}

Divide the numbers:

\frac{7776}{243} = 32

= \frac{32 a ^{5}}{b ^{5}}

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Frequently Asked Questions (FAQ)

What is ((6a)/(3b))^5 ?
The solution to ((6a)/(3b))^5 is (32a^5)/(b^5)