Can someone please help me with this Algebra 2 problem?

Question

Here’s the link to a picture of the problem: https://drive.google.com/file/d/1oUBP94-ZTgAnQZzdkmQJ5udT45sMTBGb/view?usp=drivesdk Thank you!

Answer 1

25^7/8 x 25^a = 25

To find the value of a that makes the equation true, you need to know two things.. First 25 = 25¹. Second, 25^7/8 x 25^a = 25^7/8+a.

25^7/8 x 25^a = 25¹

25^7/8+a = 25¹

Since both sides of the equation have the same base (25), the exponents must be equal:

7/8 + a = 1

Solve for a.