How do you simplify $4 v^{3} \cdot v u^{2}$ $4v^3*vu^2$ and write it using only positive exponents?

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How do you simplify $4 v^{3} \cdot v u^{2}$ $4v^3*vu^2$ and write it using only positive exponents?

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Answer 1 · 2017-06-07T21:51:53

$4 u^{2} v^{4}$ $4u^2v^4$

Explanation:

Remember that $x^{a} \cdot x^{b} = x^{a + b}$ $x^a*x^b=x^(a+b)$ (note the base, $x$ $x$ , must be the same).

Therefore,
$4 v^{3} \cdot v u^{2}$ $4v^3*vu^2$
$= 4 v^{3} \cdot v^{1} \cdot u^{2}$ $=4v^3*v^1*u^2$
$= 4 v^{3 + 1} \cdot u^{2}$ $=4v^(3+1)*u^2$
$= 4 v^{4} \cdot u^{2}$ $=4v^4*u^2$

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How do you simplify $4 v^{3} \cdot v u^{2}$ $4v^3*vu^2$ and write it using only positive exponents?

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How do you simplify $4 v^{3} \cdot v u^{2}$ $4v^3*vu^2$ and write it using only positive exponents?