use the distributive property to remove the parentheses. 4z^7(9z^7 + 2z) simplify your answer as much as…
use the distributive property to remove the parentheses. 4z^7(9z^7 + 2z) simplify your answer as much as possible.
Answer
Explanation:
Step1: Apply distributive property
$4z^{7}(9z + 2z)=4z^{7}\times9z+4z^{7}\times2z$
Step2: Use exponent - multiplication rule $a^{m}\times a^{n}=a^{m + n}$
$4z^{7}\times9z=(4\times9)z^{7 + 1}=36z^{8}$ and $4z^{7}\times2z=(4\times2)z^{7+1}=8z^{8}$
Step3: Combine like - terms
$36z^{8}+8z^{8}=(36 + 8)z^{8}=44z^{8}$
Answer:
$44z^{8}$