Simplify 16x^4(2x^2y)

$16 x^{4} (2 x^{2} y)$

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$16 (x^{2} x^{4}) (2 y)$

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

$16 x^{2 + 4} (2 y)$

Add $2$ and $4$ .

$16 x^{6} (2 y)$

Rewrite using the commutative property of multiplication.

$16 \cdot 2 x^{6} y$

Multiply $16$ by $2$ .

$32 x^{6} y$