Simplify 4x^3*(xy^2)

$4 x^{3} \cdot (x y^{2})$

Step 1

Move $x$ .

$4 (x \cdot x^{3}) \cdot y^{2}$

Step 2

Multiply $x$ by $x^{3}$ .

Raise $x$ to the power of $1$ .

$4 (x^{1} x^{3}) \cdot y^{2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 x^{1 + 3} \cdot y^{2}$

Step 3

Add $1$ and $3$ .

$4 x^{4} y^{2}$