Math, asked by divyanaveen18, 9 months ago

find the remainder when 43^23+37^23 is divided by 40​

Answers

Answered by sufiyaanwar200451
1

Answer:

2/23

Step-by-step explanation:

43/23 + 37/23 ÷ 40

80/23×1/40

2/23

Answered by Raghav1330
0

The remainder is 0.

Given:

43^{23} +37^{23} is divided by 40.

To Find:

The remainder.

Solution:

Here, it is given that 43^{23} +37^{23} is divided by 40.

Now, after calculating the above numbers.

we get the sum of two numbers and their difference as (40+3)^{23} +(40-3)^{23}.

Now, In the bino expansion of the above expression, the term containing 40 will be canceled.

As they disable by 40 then the remaining term are (3)^{23} +(-3)^{23} =0.

Now, after eliminating the above values.

we get the remainder as 0.

Hence, the remainder is 0.

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