Mathematics Education Department

by Jamila K. Eagles

Problem: Which Is Largest?


On impulse, some will attempt to evaluate each expression individually and compare the values. If we look closer, we can see that we can use what we know about exponent rules to "break down each number. Lets begin with .

.


Similarly, we may use the same method to get

and


Notice that each of the numbers can be written in terms of a number raised to the 25th power. We can rewrite each number

Now we may simply choose the largest number which is 9.


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