Free Practice Question
PS · Problem Solving
505-555
Exponents/Powers
What is the units digit of 3^456?
Answer Choices
Correct answer marked below1
Correct
B
3
C
6
D
7
E
9
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Explanation
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Official Explanation
Official
The units digit of powers of 3 follows a repeating cycle every 4 terms. Specifically, the units digits are: 3^1 = 3, 3^2 = 9, 3^3 = 7, and 3^4 = 1. To find the units digit of…
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Comments
2
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R
rijulAug 28, 2024
cheers!
A
AndrewFeb 19, 2024
thankss
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
505-555
Type
PS
Category