Question

If you raise 3 to the 324th power, what is the units digit?

a) 1
b) 3
c) 7
d) 9

Answer 1

The units digit of 3 raised to the 324th power is 1.

Step-by-step explanation:

To find the units digit of 3 raised to the 324th power, we need to look for a pattern in the units digits of successive powers of 3. The pattern repeats every four powers, so we can reduce the exponent to its remainder when divided by 4. 324 divided by 4 leaves a remainder of 0. Since the units digit of 30, 31, 32, and 33 are always 1, the units digit of 3 raised to the 324th power is also 1. Consequently, the units digit of 3³²⁴ aligns with this cyclic pattern, confirming the answer as a) 1, showcasing the utilization of patterns to swiftly deduce units digits in exponentiation.