Free Practice Question
PS · Problem Solving
655-705
Exponents/Powers
Determine the unit digit of
Answer Choices
Correct answer marked belowA
2
4
Correct
C
6
D
8
E
None of these
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Explanation
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Official Explanation
Official
To find the unit digit of , we will analyze the unit digits of each base raised to its respective power. The unit digit of a number raised to a power can be determined by observing the pattern of the unit digits of its powers. The unit digits of the bases are as follows: 2, 3, 4, 6, 7, and 8. The patterns for these unit digits are: 2 (2, 4, 8, 6), 3 (3, 9, 7, 1), 4 (4, 6), 6 (always 6), 7 (7, 9, 3, 1), and 8 (8, 4, 2, 6). Now…
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Comments
3
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A
AARSHJan 6, 2025
greatt question!
M
MahbubMar 20, 2024
got this wrong on my practice
K
KHABARDAARJul 28, 2024
thanks for taking time to upload it!
What this question tests
What it tests
Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.
Common trap
Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).
Details
Difficulty
655-705
Type
PS
Category