Question

question 25 (mandatory) (1 point)
which of the following is equivalent to (6^8÷6^2)(6^5)?
a) 6^30
b) 6^11
c) 6^20
d) 6^9

Explanation:

Step1: Apply division rule of exponents

Use $a^m\div a^n=a^{m - n}$. So, $6^{8}\div6^{2}=6^{8 - 2}=6^{6}$.

Step2: Apply multiplication rule of exponents

Use $a^m\times a^n=a^{m + n}$. Then, $6^{6}\times6^{5}=6^{6 + 5}=6^{11}$.

Answer:

B. $6^{11}$