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Popular >

simplify v(uv^2)(4u^2v^3)

Solution

simplify

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

Solution

4 v^{6} u^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 + 3 = 6

= u \cdot 4 u^{2} v^{6}

Apply exponent rule:

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

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

= 4 u^{1 + 2} v^{6}

Add the numbers:

1 + 2 = 3

= 4 u^{3} v^{6}

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Frequently Asked Questions (FAQ)

What is v(uv^2)(4u^2v^3) ?
The solution to v(uv^2)(4u^2v^3) is 4v^6u^3