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