Question

is C%3A%20the%20%5C%3A%20power%20%5C%3A%20of%20%5C%3A%2099%7D%20" id="TexFormula1" title=" \frac{3to \: the \: power \: of \: 100}{3to \: the \: power \: of \: 99} " alt=" \frac{3to \: the \: power \: of \: 100}{3to \: the \: power \: of \: 99} " align="absmiddle" class="latex-formula">greater than,less than, or equal to 3

Answer 1

Remember the laws of exponents:

$\frac{a^n}{a^m}=a^{n-m}$

Then:

$\begin{gathered} \frac{3^{100}}{3^{99}}=3^{100-99} \\ =3^1 \\ =3 \end{gathered}$

Therefore:

$\frac{3^{100}}{3^{99}}=3$