Is (3to \: the \: power \: of \: 100)/(3to \: the \: power \: of \: 99)greater than,less than, or equal to 3

Question

is
`(3to \: the \: power \: of \: 100)/(3to \: the \: power \: of \: 99)`greater than,less than, or equal to 3

Answer 1

Remember the laws of exponents:

`(a^n)/(a^m)=a^(n-m)`

Then:

`\begin{gathered} (3^(100))/(3^(99))=3^(100-99) \\ =3^1 \\ =3 \end{gathered}`

Therefore:

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