Question

I need help simplifying $( {a}^{5} {b}^{2} {c}^{5})(a {c}^{2})$

Answer 1

Explanation

$\left(a^5b^2c^5\right)\left(ac^2\right)$

Therefore

$\begin{gathered} \left(a^5b^2c^5\right)\left(ac^2\right) \\ \mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c} \\ =(a^{5+1}b^2c^{5+2}) \\ =a^6b^2c^7 \end{gathered}$

Answer:

$a^6b^2c^7$