Question

(125/8)⁵ × (125/8)^p = (5/2)¹⁸ , find p​

Answer 1

Answer:

(5/2)^18=((5/2) ^3) ^6=(125/8) ^6

(125/8) ^5x(125/8) ^p=(125/8) ^5+p

(125/8) ^6=(125/8) ^5+p

since base is same we just look at the exponents

6=5+p

6-5=p

p=1