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Popular >

simplify (sqrt(uv^3))^5

Solution

simplify

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

Solution

u^{2} v^{7} u v

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(u v^{3})^{4 + 1} = (u v^{3})^{4} u v^{3}

= (u v^{3})^{4} u v^{3}

Simplify

(u v^{3})^{4} : ((u v^{3})^{2})^{2}

= ((u v^{3})^{2})^{2} u v^{3}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(u v^{3})^{2} = u v^{3}

= (u v^{3})^{2} u v^{3}

Simplify

u v^{3} : u v v

= (u v^{3})^{2} u v v

Simplify

(u v^{3})^{2} : u^{2} v^{6}

= u^{2} v^{6} u v v

Simplify

v^{6} v : v^{7}

= u^{2} v^{7} u v

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simplify 7e^{-3}simplify

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Frequently Asked Questions (FAQ)

What is (sqrt(uv^3))^5 ?
The solution to (sqrt(uv^3))^5 is u^2v^7sqrt(u)sqrt(v)