## Question

**What is the value of P in the following Equation?**

19^{2.5} × 19^{p} = 19^{7}

19

^{2.5}× 19

^{p}= 19

^{7}

A) 3.7

B) 3.9

C) 4.1

D) 4.5

**Answer : **D

**Solution:**

Given equation is

19^{2.5} ×19^{p} = 19^{7}

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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