Taking Power of a Power
Algebra
Level
2
Which one is smaller (5^2)×3 or (5^2)^3?
(6^2)×3
(5^2)^3
(6^2)^3
(5^2)×3
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1 solution
The first option is 5^2x5^2x5^2 the second is 5^2x3. This works out to be 625x25(first option) vs. 75(second option), but you should be able to work this out intuitively. After all, the last two options are meant to trick you as they were not mentioned in the problem. If the integer is greater than 1, cubing it will be better than multiplying it by three. And by 25 it is hugely bigger!