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Popular >

simplify (5u^2v)(4uv^2)

Solution

simplify

(5 u^{2} v) (4 u v^{2})

Solution

20 u^{3} v^{3}

Solution steps

(5 u^{2} v) (4 u v^{2})

Apply exponent rule:

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

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

= 5 v \cdot 4 u^{2 + 1} v^{2}

Add the numbers:

2 + 1 = 3

= 5 v \cdot 4 u^{3} v^{2}

Apply exponent rule:

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

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

= 5 \cdot 4 u^{3} v^{1 + 2}

Add the numbers:

1 + 2 = 3

= 5 \cdot 4 u^{3} v^{3}

Multiply the numbers:

5 \cdot 4 = 20

= 20 u^{3} v^{3}

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Frequently Asked Questions (FAQ)

What is (5u^2v)(4uv^2) ?
The solution to (5u^2v)(4uv^2) is 20u^3v^3