Question

Explain how the quotient of powers was used to simplify this expression

2^5/8=2^2

Answer 1

(2^5)/8 = 2^2

Now, 8 = 2^3. So we can sub

(2^5)/(2^3) = 2^2

Now, there's a rule that states that (a^m)/(a^n) = a^(m-n)

so (2^5)/(2^3) = 2^(5-3) = 2^2