Question

Find remainder when (257^33+46)^26 is divided by 50

Answer 1

Given:

(257^33+46)^26 is divided by 50

To find:

Remainder when (257^33+46)^26 is divided by 50

Solution:

1) When a number is the factor of the other number then, in that case, the remainder is zero.

2) The given term can be written as:

• $\frac{{((250+7)^{33}+46)}^{26}}{50}$

• $\frac{{(7^{33}+46)}^{26}}{50}$

• $\frac{{((7)^{2})^{16}.7^1+46)}^{26}}{50}$

• $\frac{{((49)^{16}.7^1+46)}^{26}}{50}$

• $\frac{{((50-1)^{16}.7^1+46)}^{26}}{50}$

• $\frac{{((-1)^{16}.7^1+46)}^{26}}{50}$

• $\frac{{(7^1+46)}^{26}}{50}$

• $\frac{{53}^{26}}{50}$

• $\frac{{(50+3)}^{26}}{50}$

• $\frac{{3}^{26}}{50}$

• $\frac{({3}^{5})^5.3^1}{50}$

• $\frac{(243)^5.3^1}{50}$

• $\frac{(250-7)^5.3^1}{50}$

• $\frac{(-7)^5.3^1}{50}$

• $\frac{((-7)^2)^2.(-7)^1.3^1}{50}$

• $\frac{(49)^2.(-7)^1.3^1}{50}$

• $\frac{(50-1)^2.(-21)}{50}$

• $\frac{(-1)^2.(-21)}{50}$

• $\frac{-21}{50}$

So in this case, the remainder is 50-21 = 29

Remainder when (257^33+46)^26 is divided by 50 is 29

Answer 2

Answer:

source

Step-by-step explanation:

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