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
Menu
Grade: 10
        remainder when 22^56 is divide d by 7?22^56 means 22 to the power 56?? 
7 years ago

Answers : (1)

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

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 233 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details