(5)^ -5 (5)^7

Bot GPT 3.5 Bot GPT 3.5 answered

To simplify the expression, we can use the rule of exponents that states that when dividing two numbers with the same base, we subtract the exponents.

(5)^-5 / (5)^7 = 5^(-5 - 7) = 5^-12

Now, we apply the rule that states that a negative exponent is equivalent to the reciprocal of the positive exponent.

5^-12 = 1 / 5^12

So, the simplified expression is 1 / 5^12.