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Popular >

simplify ((5u)/(3v))^3

Solution

simplify

(\frac{5 u}{3 v})^{3}

Solution

\frac{125 u ^{3}}{27 v ^{3}}

Solution steps

(\frac{5 u}{3 v})^{3}

Apply exponent rule:

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

= \frac{( 5 u ) ^{3}}{( 3 v ) ^{3}}

Simplify

(5 u)^{3} : 125 u^{3}

= \frac{125 u ^{3}}{( 3 v ) ^{3}}

Simplify

(3 v)^{3} : 27 v^{3}

= \frac{125 u ^{3}}{27 v ^{3}}

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Frequently Asked Questions (FAQ)

What is ((5u)/(3v))^3 ?
The solution to ((5u)/(3v))^3 is (125u^3)/(27v^3)