Question

UNIT DIGIT OF 22^240
PLZ ONLY GENIUS

Answer 1

Answer:

Unit digit of $22^{240}$ = 6

Step-by-step explanation:

Unit digit of $22^{240}$ .

As the unit digit of 22 is 2

⇒ Unit digit of $22^{240}$ =  Unit digit of $2^{240}$

Cyclicity of 2 = 4 times

⇒ $2^{240}$ = $2^{4(60) + 0}$

⇒ Unit digit of $2^{240}$ = Unit digit of $2^{4}$

⇒ 2⁴ = 16

⇒ Unit digit of 16 = 6

∴   Unit digit of $22^{240}$ = 6