Practice With Exponents

Algebra Level 2

Order From Greatest To Least
25^100
2^300
3^400
4^200
2^600

2^300,4^200,25^100,3^400,2^600 2^600,3^400,25^100,4^200,2^300 2^300,2^600,3^400,4^200,25^100 25^100,4^200,3^400,2^600,2^300

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2 solutions

Rab Gani
Jun 7, 2018

Make the same power of each numbers. With the power of 100. We have 25, 8, 81,16, and 64. So the order from the greatest to the smallest is 3^400, 2^600,25^100, 2^400, and 2^300.

That's not one of the answer choices?

Elijah L - 2 years, 2 months ago
Azadali Jivani
May 24, 2017

400 log 3 = 190.85
600 log 2 = 180.62
100 log 25 = 139.8
200 log 4 = 120.4
300 log 2 = 90.31


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