Question

simplify:
\\(\frac{30^{40}}{30^{20}} = \\)
options:
\\(30^2\\)
\\(30^{20}\\)
\\(1^2\\)
\\(1^{20}\\)

Explanation:

Step1: Apply exponent division rule

For $\frac{a^m}{a^n}=a^{m-n}$, here $a=30$, $m=40$, $n=20$
$\frac{30^{40}}{30^{20}}=30^{40-20}$

Step2: Calculate the exponent

$40-20=20$, so $30^{40-20}=30^{20}$

Answer:

$30^{20}$