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A and b are positive integers and a−b = 2. Evaluate the following: 5^a/5^b

2 Answers

0 votes

Answer:

25

Explanation:

User Ericca
by
6.4k points
5 votes

Answer: The correct answer is 25.

Explanation:

To solve this problem, we need to remember the properties of exponents.

We are given 5^a/5^b, but we know that for division of exponents with the same base, we subtract the exponents. This simplification gives us:

5^(a-b)

Given in the problem is the following equation: a-b = 2

Therefore, we can substitute 2 for the quantity a-b.

This gives us 5^2, which equals 5x5, or 25.

Therefore, your answer is 25.

Hope this helps!

User Cmt
by
7.1k points
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