If 5^a = 3125, then the value of 5^(a - 3) is ______?

If 5^a = 3125, then the value of 5^(a - 3) is ______?

Explanation

We are given:

5^a = 3125

Now, let's express 3125 as a power of 5:

3125 = 5^5

So, a = 5

Now we need to find:

5^(a - 3) = 5^(5 - 3) = 5^2 = 25

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3125 = 5⁵ ⇒ a = 5

So, 5^(a - 3) = 5² = 25