Question

5^-5/5^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 5^(-5)/5^2, we start by using the rule of exponents for division:

a^m / a^n = a^(m-n)

Applying this rule, we get:

5^(-5)/5^2 = 5^(-5-2) = 5^(-7)

Now, we can apply the rule of exponents for negative exponents:

a^(-n) = 1/a^n

So, 5^(-7) = 1/5^7.

Therefore, 5^-5/5^2 = 1/5^7.