What is the unit digit of (2^10) 3 in base 3? (See additional description for correct question)

Question

What is the unit digit of (2¹⁰)₃ in base 3?

 

Answer is 2. Let me know how. Step by step

Answer 1

The subscript 3 indicates that the values inside the parentheses are in base-3 (ternary).  The value (2¹⁰)₃ means (2³)₁₀ which is 8₁₀.

 

8₁₀ = 22₃     (because 2₃*2₃*2₃ = 22₃)

 

The "units digit" of 22₃ is 2₃  (note:  2₃ = 2₁₀)