What is the value of P in the following Equation ? 19^2.5 × 19^p = 19^7

Question

What is the value of P in the following Equation?

19^2.5 × 19^p = 19⁷

A) 3.7

B) 3.9

C) 4.1

D) 4.5

Answer : D

Solution:

Given equation is

19^2.5 ×19^p = 19⁷

Here it is in the form of am × an = am+n

Here m = 2.5 , n = p, m+n = 7

=> 2.5 + p = 7

=> p = 7 – 2.5

=> p = 4.5

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