Question

Is 3^100/3^99 greater than, less than, or equal to 3?

Answer 1

I think is less than the 3

Answer 2

It is equal to 3.

Explanation:

Given expression,

`(3^(100))/(3^(99))`

Since, by the quotient property of exponent,

i.e.
`(a^m)/(a^n)=a^(m-n)`

We get,

`(3^(100))/(3^(99))=3^(100-99)=3^1=3`

Hence, we can say that,

`(3^(100))/(3^(99))` is equal to 3.