Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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

Find the remainder when [5^2000] + [13^2000] is divided by 18. Pls show the working also.

Find the remainder when [5^2000] + [13^2000] is divided by 18. Pls show the working also.

Grade:10

3 Answers

sanatan sharma
26 Points
9 years ago

the remainder will be 0 since an + bn is always divisible by a + b.

noel thekkekara
31 Points
9 years ago

({5^2000}+[13^2000])%18=??????????????????????

13/18=remiander=13or-5

{[5^2000] +  (-5^2000)}%18

2*25^1000

25%18=7                  note:r is for remiander

r(2*7^1000)=r(2*49^500)=(2*(-5)^500)=it goes ontill   (7^7)*-350=7*350*(-5)^3=-125*350*7=-1*8*7=-2=+16

so remainder  is 16.

please approve.

sanatan sharma
26 Points
9 years ago

the answer is 0 since an + bn is always divisible by a+b

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free