A pattern exists among the units digit of the posers of 8 as shown in the diagram.

What is the units digit of 8 to the power of 62

A) 2

B) 4

C) 6

D) 8

E) None of the above

B)4

Step-by-step explanation:

We can solve this by observing some pattern.

The powers ending in 4 as unit digit are:

The exponents form the sequence:

2,6,10,14,20,...

We need to check if 62 belongs to this sequence.

This is an arithmetic sequence with a common difference of 4 and a first term of 2.

The explicit formula is

We equate this to 62 and solve for n.

Since n is a natural number, 62 belongs to the sequence.

Hence

will have a unit digit of 4.

could

step-by-step explanation:

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