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

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

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

Move $x^{4}$ .

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

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

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

Add $4$ and $4$ .

$4 x^{8} y^{3} \cdot 4$

Multiply $4$ by $4$ .

$16 x^{8} y^{3}$