Aisha studies the units digits of powers of 2: 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32. The units digits cycle as 2, 4, 8, 6, 2, 4, 8, 6, ... What is the units digit of 2^10?

Question

Accepted Answer

4. The cycle 2,4,8,6 has length 4. 10 = 4x2 + 2, so the 2nd in the cycle, which is 4. (2^10 = 1024.)

Aisha studies the units digits of powers of 2: $2^{1} = 2, 2^{2} = 4, 2^{3} = 8, 2^{4} = 16, 2^{5} = 32$ .
The units digits cycle as 2, 4, 8, 6, 2, 4, 8, 6, ...
What is the units digit of $2^{10}$ ?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Patterns in Numbers practice

Aisha studies the units digits of powers of 2: 21=2,22=4,23=8,24=16,25=32.The units digits cycle as 2, 4, 8, 6, 2, 4, 8, 6, ...What is the units digit of 210?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Patterns in Numbers practice

Aisha studies the units digits of powers of 2: $2^{1} = 2, 2^{2} = 4, 2^{3} = 8, 2^{4} = 16, 2^{5} = 32$ .
The units digits cycle as 2, 4, 8, 6, 2, 4, 8, 6, ...
What is the units digit of $2^{10}$ ?