5^-5/5^2
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.