Question

5^12/5^-8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 5^12 / 5^-8, we can use the rule for dividing exponents with the same base. The rule states that when dividing two exponents with the same base, we subtract the exponents.

In this case, we have 5^12 as the numerator and 5^-8 as the denominator. Using the division rule, we subtract the exponents:

5^12 / 5^-8 = 5^(12 - (-8))

Simplifying the subtraction inside the parentheses:
5^12 / 5^-8 = 5^(12 + 8)

Adding the exponents:
5^12 / 5^-8 = 5^20

Therefore, 5^12 / 5^-8 simplifies to 5^20.