Seudónimo Seudónimo
  • 09-05-2017
  • Mathematics
contestada

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

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 09-05-2017
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
Answer Link
EEPJR
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
Answer Link

Otras preguntas

what did the walking treaty of 1737 do?
Which of the following offers certifications ? A a four year college B a two year college C a liberal arts college D a high school
How many 2-inch by 3-inch by 8-inch bricks will you need to build a (uniformly wide) brick walk with the shape shown in the figure below? (Lay the bricks so tha
With what form of government did the romans initially use to replace their tyrant kings?
Will give brainliest please help!
Currency TransactionsPlease answer question in the photo.☺
Find all the factors of x3 -3x2 -4x +12 given that -2 is a zero.
In Book 9 of The Odyssey, Polyphemus curses Odysseus. This curse is an example of what kind of literary device? A. Foreshadowing B. Irony C. Metaphor D. S
What is the average resting heart rate? A. 70 beats per minute B. 50 beats per minute C. 90 beats per minute D. 125 beats per minute
What is 0.006752 in scientific notation