1.simplify 5 to the 5th over 5 to the 8th.
1 over 5 to the 3rd power
5 to the 3rd power
1 over 25
1 over 5 to the negative 3rd
2.in which expression should the exponents be multiplied?
(53)−4
one third to the 4th times one third to the 7th
3 to the 7th over 3 to the 15th
45 ⋅ 42

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is 
To simplify, we will use two rules: 

Therefore:

is the same as 1 over 5 to the 3rd power.

Q2. The answer is (53)−4.

The exponents are multiplied when are expressed in the form:

So, 

Other choices are incorrect:
one third to the 4th times one third to the 7th is 
3 to the 7th over 3 to the 15th is 
45 ⋅ 42 is