Surds and Indices Problems with Solution for Competitive Exams

Solutions of Surds and Indices Problems 

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Q.15. If 5^a = 3125, then the value of 5(a-3) is :

(A) 25                   

 (B) 125                  

(C) 625                  

(D) 1625

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Solution

If 5^a = 3125 ⟺ 5^a = 5⁵ ⟺ a = 5
∴ 5^(a-3) = 5^(5-3) = 5² = 25.

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