Which quantity is larger?
A) 100^500
B) 1000^300
C) They are equal.
D) Insufficient information.

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

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EEPJR EEPJR · Answer 2 · 2017-05-09T04:30:57+02:00

EEPJR EEPJR

09-05-2017

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

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Which quantity is larger? A) 100^500 B) 1000^300 C) They are equal. D) Insufficient information.

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Which quantity is larger?
A) 100^500
B) 1000^300
C) They are equal.
D) Insufficient information.