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>
*See attached picture for the diagrams being referred to
Answer:
C. ⁵/12= ²/x
Step-by-step Explanation:
Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.
Thus, EF/JK = FG/KL
Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:
⁵/12= ²/x
<span>The interest earned in 10 years is B. $739.97.</span>