Simplify (4p^2q)(p^2q^3)

$(4 p^{2} q) (p^{2} q^{3})$

Step 1

Multiply $p^{2}$ by $p^{2}$ by adding the exponents.

Move $p^{2}$ .

$4 (p^{2} p^{2}) q \cdot q^{3}$

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

$4 p^{2 + 2} q \cdot q^{3}$

Add $2$ and $2$ .

$4 p^{4} q \cdot q^{3}$

Step 2

Multiply $q$ by $q^{3}$ by adding the exponents.

Move $q^{3}$ .

$4 p^{4} (q^{3} q)$

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

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

$4 p^{4} (q^{3} q^{1})$

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

$4 p^{4} q^{3 + 1}$

Add $3$ and $1$ .

$4 p^{4} q^{4}$