sandy wrote:
m is a positive integer less than 4.
Quantity A: (m+2)2
Quantity B: m^(^m^+^2^)
NOTE: m is a positive integer less than 4
This means that there are only 3 possible values for (m = 1, 2 or 3)
So, rather than perform any algebraic manipulations, let's just TEST all 3 values of m.
m =
1Quantity A: (
1+2)^2 = = 3^2 = 9
Quantity B:
1^(
1+2) = 1^3 = 1
In this case,
quantity A is greater.
m =
2Quantity A: (
2+2)^2 = = 4^2 = 16
Quantity B:
2^(
2+2) = 2^4 = 16
In this case,
quantity A is equal to quantity B.
STOP!
At this point, we can conclude that the correct answer is
Cheers,
Brent