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3 votes
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

User RobrechtVM
by
6.3k points

2 Answers

3 votes

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.

User NicoKowe
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5.8k points
6 votes

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

User Martinjbaker
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6.2k points