Question

3^162 divided by 162​

Answer 1

Answer:

81

Step-by-step explanation:

Just tried to add some explanation to the earlier answers (especially for the uninitiated):

3^164 = 3^4 . 3^160 = 81 . 3^160 ; Similarly 162 = 81 . 2

Now we know Remainder of (KA/ KB) = K. Remainder of (A/B)

Thus, Remainder of (3^164 / 162) = 81. Remainder of (3^160 / 2)

Using Binomial Theorem, 3^160 = (2 + 1)^160 = 2(………….) + 1^160

When divided by 2, all the terms of the expansion will be exactly divided by 2 except the last term i.e. 1^160

Thus, Remainder of (3^160 / 2) = Remainder of (1^160 / 2) = Remainder of (1 / 2) = 1

So, Remainder of (3^164 / 162) = 81. Remainder of (3^160 / 2) = Remainder of (1^160 / 2)= 81. 1 = 81

Ans: 81

Hope it will help you.

Answer 2

81 is the answer please mark me as brainlist.......