MA wrote:
If x is a positive integer, what is the units digit of (24)^(2x + 1)*(33)^(x + 1)*(17)^(x + 2)*(9)^(2x)?
A. 4
B. 6
C. 7
D. 8
E. 9
Since we are only concerned with the units digit, we can simplify the expression as:
(4)^(2x + 1)*(3)^(x + 1)*(7)^(x + 2)*(9)^(2x)
This simplified expression will have the same units digit as the given expression. Next, let’s look at the units digit patterns of powers of 4, 3, 7, and 9, respectively:
Units digits of powers of 4: 4-6 (the patterns repeats in a
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