Question

Neil tried to rewrite the expression 5^(-6) / 5^(-4). What is the correct result?

a) 5^4
b) 5^(-4)
c) 5^6
d) 5^(-2)

Answer 1

To rewrite the expression 5^(-6) / 5^(-4), subtract the exponents and simplify.

Step-by-step explanation:

To rewrite the expression 5^(-6) / 5^(-4), we can subtract the exponents since the base is the same. So, 5^(-6) / 5^(-4) = 5^((-6) - (-4)).

Next, we simplify the expression inside the exponent: (-6) - (-4) = -2.

Therefore, the correct result is 5^(-2).