Click to Chat

1800-2000-838

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
`        remainder when 22^56 is divide d by 7?22^56 means 22 to the power 56?? `
6 years ago

Fawz Naim
37 Points
```										This question can easily be solved by using binomial theorem.
22^56 can be written as (21+1)^56. Now applying binomial theorem
56C0 21^56+56C1 21^55+56C2 21^54+...........+56C56 21^0
=21(56C0 21^55+56C1 21^54+56C2 21^53+.............+56C56 21^-1)
let 56C0 21^55+56C1 21^54+56C2 21^53+..............+56C56 21^-1)=a
=21a   which is divisible by 7 so the remainder is zero
```
6 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »
• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: Rs. 15,900
• View Details
Get extra Rs. 3,180 off
USE CODE: CHEM20
Get extra Rs. 466 off
USE CODE: CHEM20