Simplify 9 to the 2nd over 9 to the 7th.

a 95

b 1 over 9 to the 9th

c 1 over 9 to the negative 5th

d 1 over 9 to the 5th

The answer is 1. 9 over 9 is a whole, which is one. 1 to the second power is 1. 1 to the 7th power is 1. No matter how many exponents you put on 1, it will always stay one. So the answer is 1.

9^2/9^7

when dividing powers, we subtract the exponents

9^ (2-7)

9^ (-5)

a negative exponent flips from the numerator to the denominator

1 / 9^5

Choice D