Question

If p is an integer and 5^2p*7^3 = 8575
What is the value of p

Answer 1

Answer:

The value of p is 1.

Step-by-step explanation:

${5}^{2p} \times {7}^{3} = 8575$

${5}^{2p} = \frac{8575}{343}$

${5}^{2p} = 25$

${5}^{2p} = {5}^{2}$

If Bases are same, then the powers are same.

$2p = 2$

$p = \frac{2}{2}$

$p = 1$