Answer
$-16x^{6}y^{3}p^{2}$
Work Step by Step
We are given the expression $(-4x^{3}p^{2})(4y^{3}x^{3})$. We can group like terms to simplify.
$(-4\times4)\times(x^{3}\times x^{3})\times y^{3} \times p^{2}$
To simplify the second term, we can use the product rule, which holds that $a^{m}\times a^{n}=a^{m+n}$ (where a is a real number, and m and n are positive integers).
$-16\times x^{3+3}\times y^{3} \times p^{2}=-16x^{6}y^{3}p^{2}$
