Question

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

Answer 1

Answer:

2/23

Step-by-step explanation:

43/23 + 37/23 ÷ 40

80/23×1/40

2/23

Answer 2

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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