Question

10 to the power of 50-7 divided by 3 the find the remainder

Answer 1

Answer:

0

Step-by-step explanation:

Method 1

10⁵⁰ - 7 ≡ 1⁵⁰ + 2 = 1 + 2 = 3 ≡ 0 (mod 3)

The remainder when divided by 3 is 0.

Method 2

10⁵⁰ - 7

= ( 9 + 1 )⁵⁰ - 7

= ( terms that involve powers of 9 ) + 1 - 7       [ using the binomial theorem ]

= ( a multiple of 3 ) + 1 - ( 6 + 1 )

= ( a multiple of 3 ) - 6

= a multiple of 3.

So the remainder when divided by 3 is 0.