Question

Question 2 Multiple Choice Worth 4 points)

SS
Simplify 5^3 / 5^8

A. 1 / 5^3

B. 5^3

C. 1 / 25

D. 1 / 5-^3

Answer 1

`\large\boxed{5^(-5)=(1)/(5^5)}`

Explanation:

`\text{Use}\ (a^n)/(a^m)=a^(n-m)\\\\(5^3)/(5^8)=5^(3-8)=5^(-5)\qquad\text{use}\ a^(-n)=(1)/(a^n)\\\\=(1)/(5^5)`

Based on the correction of the question in the comment.

`(5^5)/(5^8)=5^(5-8)=5^(-3)=(1)/(5^3)` → A