Question

if unit digit of 7^3 is 3 than what will be the units digit of 7^11​

Answer 1

Answer:

3.

Step-by-step explanation:

7

11

=7

3

×7

3

×7

3

×7

2

unit digit of 7

11

=unit digit of 7

3

×unit digit of 7

3

×unit digit of 7

3

×unit digit of 7

2

Given that unit digit of 7

3

is 3.

∴ taking unit digits-

unit digit of 7

11

=3×3×3×unit digit of 7

2

=3×3×3×unit digit of 49

⇒unit digit of 7

11

=unit digit of 27×unit digit of 49=3( unit digit)

Hence, the correct answer is 3.