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8) $4v^{3} \\cdot vu^{2}$

Question

  1. $4v^{3} \cdot vu^{2}$

Explanation:

Step1: Group like variables

$4 \cdot (v^3 \cdot v) \cdot u^2$

Step2: Add exponents of $v$

Recall $v = v^1$, so $v^3 \cdot v^1 = v^{3+1} = v^4$
Expression: $4 \cdot v^4 \cdot u^2$

Step3: Rearrange for standard form

Write variables in alphabetical order
Expression: $4u^2v^4$

Answer:

$4u^2v^4$