Simplify 4v^3*(vu^2)

Problem

4*v3*(v*u2)

Solution

1. Identify the components of the expression, which consists of a coefficient and variables with exponents.

2. Apply the associative property of multiplication to group the like variables together.

4⋅v3⋅v⋅u2

3. Apply the product rule for exponents, which states that am⋅an=a(m+n) Note that v is equivalent to v1

v3⋅v1=v(3+1)

4. Simplify the exponent for the variable v

v4

5. Combine all parts back into a single expression.

4*v4*u2

Final Answer

4*v3*(v*u2)=4*v4*u2

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