Simplify (2x^2)(4x^3y^2)

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

Step 1

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

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

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

$2 x^{3 + 2} (4 y^{2})$

Add $3$ and $2$ .

$2 x^{5} (4 y^{2})$

Step 2

Rewrite using the commutative property of multiplication.

$2 \cdot 4 x^{5} y^{2}$

Step 3

Multiply $2$ by $4$ .

$8 x^{5} y^{2}$