Simplify 4x^2*x^4y^4

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

Move $x^{4}$ .

$4 (x^{4} x^{2}) \cdot y^{4}$

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

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

Add $4$ and $2$ .

$4 x^{6} y^{4}$