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Popular >

simplify (u^2v)(v^2u)

Solution

simplify

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

Solution

u^{3} v^{3}

Solution steps

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

Apply exponent rule:

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

u^{2} u = u^{2 + 1}

= v v^{2} u^{2 + 1}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

v v^{2} = v^{1 + 2}

= v^{1 + 2} u^{3}

Add the numbers:

1 + 2 = 3

= v^{3} u^{3}

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Frequently Asked Questions (FAQ)

What is (u^2v)(v^2u) ?
The solution to (u^2v)(v^2u) is u^3v^3