Question

What is the remainder when 2^100 is divided by 7

Answer 1

Answer:

Remainder will be 2.

Step-by-step explanation:

Answer given in the image.

Answer 2

GIVEN,

2¹⁰⁰ is divided by 7

TO FIND,

The remainder

SOLUTION,

WE ARE GIVEN,

⇒ 2¹⁰⁰/7

we can simplify

⇒ 2¹⁰⁰ as (2¹⁰)¹⁰

now,

⇒ (2¹⁰)¹⁰ / 7

now let us calculate the remainder for,

⇒ 2¹⁰/7 =$\frac{1024}{7}$  leaves a remainder 2.

so if 2¹⁰/7 leaves a remainder 2,

then 2¹⁰⁰/7 will also leave a remainder 2.

HENCE THE REMAINER WHEN 2¹⁰⁰ IS DIVIDED BY 7 IS 2.