Question

WULISIUNEAssessmentQPHTMLMode
,
What is the remainder when we divide 5^70 +7^70 by 74?
X 1.5
▼ 2.0
X 3.7
X 4. 1​

Answer 1

Given:

$5^{70} + 7^{70} / 74$

To find:

Remainder of the expression.

Solution:

1) Remainder theorem says that the number left after diving the divisor with the dividend.

2) $5^{70} + 7^{70} / 74$

$25^{35} + 49^{35} / 74$

3) As we all know that (a+b) is the factor of the term $a^{m} + b^{n}$

Hence, 25 + 49 must be the factor of the term $25^{35} + 49^{35} / 74$.

  (25 + 49) K / 74 ( K any multiple after solving the binomial we get)

  74K / 74

Remainder of the above expression is 0.