Q1. The answer is <span>1 over 5 to the 3rd power.
</span>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 <span>(53)−4.
The exponents are multiplied when are expressed in the form:
</span>
So,
Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>
3 to the 7th over 3 to the 15th is
<span>45 ⋅ 42 is </span>
</span>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:
Q2. The answer is <span>(53)−4.
The exponents are multiplied when are expressed in the form:
</span>
So,
Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>
3 to the 7th over 3 to the 15th is
<span>45 ⋅ 42 is </span>