Question

Which quantity is larger?

Answer 1

Remember
$(x^m)^n=x^{mn}$
convert to base 10
$100^{500}=(10^2)^{500}=10^{1000}$
$1000^{300}=(10^3)^{300}=10^{900}$

$10^{1000}\ \textgreater \ 10^{900}$

A is larger

Answer 2

100^500 = (10^2)^500 = 10^(2*500) = 10^1000
1000^300 = (10^3)^300 = 10^(3*300) = 10^900
therefore, 100^500 is greater than 1000^300

answer is letter A