Question

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

Answer 1

Step-by-step 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`