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Popular >

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

Solution

simplify

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

Solution

v^{4} u^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 + 1 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

= u^{4} v^{4}

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Frequently Asked Questions (FAQ)

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