Question

Which quantity is larger?

A) 100^500
B) 1000^300
C) They are equal.
D) Insufficient information.

Answer 1

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

Answer 2

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