Question

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

Answer 1

205.2695855914755224841171577448444258477488

Explanation:

to be expesific

Answer 2

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`