If 5^a = 3125, find the value of 5^(a − 3).

Given data

• 5^a = 3125

Concept / Approach

• Express 3125 as a power of 5 and then reduce the exponent.

Step-by-step calculation3125 = 5^5 ⇒ a = 55^(a − 3) = 5^(5 − 3) = 5^2 = 25

Common pitfalls

• Confusing 5a with 5^a. The problem states an exponential equation 5^a = 3125.

Final Answer25