Question

The remainder when 7^403 is divided by 100 is ?​

Answer 1

Answer:

7^403 = 7^3 × 7^400 = 343(2401)^100

Therefore, Remainder = 43.

⚡Hope it will help you.⚡

Answer 2

Answer:

Explanation:

Given :-

7⁴⁰³/100

To Find :-

Remainder When 7⁴⁰³/100

Solution :-

= 7⁴⁰³/100

Splitting  the whole number.

= (7⁴)¹⁰⁰ ×7³  /100

= 2401¹⁰⁰ × 343/100

= (2400 + 1)¹⁰⁰ × 343/100

Now,

2400 is divisible by 100 so the rem of 2401¹⁰⁰ is 1.  

The case of 343

= 1 × 343/100

= (300 + 43) /100

Hence, The Remainder is 43.