Question

How many ways can you write 5^8 as a quotient of two exponential terms? Explain your reasoning.

Answer 1

Exponents can be expressed in terms of quotient or fraction.
For example: x^6 can be expressed as x^8 / x^2 = x^8-2 = x^6.

From the question, 5^8 can be expressed as 
5^10/5^2 = 5^8
(5^2)(5^8) / (5^2) = 5^8