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

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

Step 1

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

Move $x^{3}$ .

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

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

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

Add $3$ and $2$ .

$3 x^{5} (4 y)$

Step 2

Rewrite using the commutative property of multiplication.

$3 \cdot 4 x^{5} y$

Step 3

Multiply $3$ by $4$ .

$12 x^{5} y$