Question

Find the remainder when 2^24 is divided by 35. Explain with proper steps.​

Answer 1

Given:

2^24 is divided by 35.

To find:

Find the remainder of the given expression.

Solution:

1) The remainder is the integer left after dividing the one integer by another integer.

2) When a number is completely divisible by the another number then the remainder is zero.

3) To find the remainder,

• $\frac{2^{24}}{35}$

• $\frac{(2^{5})^4 2^{4}}{35}$

• $\frac{(32)^4 2^{4}}{35}$

• $\frac{(35-3)^4 2^{4}}{35}$

• $\frac{(-3)^4 2^{4}}{35}$

• $\frac{81 . 16}{35}$

• $\frac{11.16}{35}$

• $\frac{176}{35}$

• Remainder is 1.

Remainder when 2^24 is divided by 35 is 1.

Answer 2

Step-by-step explanation:

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