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1 vote
What is (99/100)^101 times (100/99)^100?

2 Answers

6 votes

Answer:

205.2695855914755224841171577448444258477488

Explanation:

to be expesific

User Mohsen Heydari
by
8.7k points
5 votes

Answer:

99/100

Explanation:

First of all recall that


a^n\cdot b^n =(ab)^n

Now we we will try to apply that formula for
a=99/100 and
b=100/99.

First rewrite
(99/100)^(101)=(99/100)* (99/100)^(100)

Now


(99/100)* (99/100)^(100)* (100/99)^(100)\\=(99/100)* ((99/100)* (100/99))^(100)\\=(99/100)* 1^(100)\\=(99/100)* 1\\=99/100

User Roberto Russo
by
8.8k points

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