Answer:

Step-by-step explanation:
I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."
According to the <u>Quotient Rule of Exponents</u><u>:</u>

Method 1:
In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

Method 2:
Even if you solve the given problem manually, you'd still get the same answer:

Both methods produced the same result, proving that the correct answer is 25.
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Answer:
50 is the initial value
Step-by-step explanation:
The equation is of the form
y = ab^x where a is the initial value and b is the growth/decay value
b>1 is growth and b<1 means decay
y = 50(1.6)^x
50 is the initial value and 1.6 means growth since it is greater than 1
1.6 -1 = .6 so it has a 60% growth rate
Answer: -4x -8
See picture below for step by step