Respuesta :
remember
[tex](x^m)^n=x^{mn}[/tex]
convert to base 10
[tex]100^{500}=(10^2)^{500}=10^{1000}[/tex]
[tex]1000^{300}=(10^3)^{300}=10^{900}[/tex]
[tex]10^{1000}\ \textgreater \ 10^{900}[/tex]
A is larger
[tex](x^m)^n=x^{mn}[/tex]
convert to base 10
[tex]100^{500}=(10^2)^{500}=10^{1000}[/tex]
[tex]1000^{300}=(10^3)^{300}=10^{900}[/tex]
[tex]10^{1000}\ \textgreater \ 10^{900}[/tex]
A is larger
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
1000^300 = (10^3)^300 = 10^(3*300) = 10^900
therefore, 100^500 is greater than 1000^300
answer is letter A