if 11 to the power 7 + 4 to the power 7 is divided by 15 then the remainder is
Answers
Answered by
2
Answer:
hope the upper picture helps you
please mark me as brainliest
Attachments:
Answered by
0
Answer:
0
given,
( 11⁷ +4⁷ )÷ 15
to find,
the remainder of the given mathematical problem
solution,
we have to find the remainder of (11⁷ +4⁷) when divided by 15.
we can do this by understanding that:
- the unit digit of 11 raised to any power will always be 1.
- the unit digit of 4 raised to any power would follow a pattern of 4,6,4,6,4,6.... ( 4 for every odd power and 6 for every even power)
- therefore, the unit value of 11⁷ +4⁷ would be 1 + 4 (since 4 has an odd power) = 5.
- since the value of 4¹ + 11¹ is 15, therefore, for every odd power, the resultant would be divisible by 15 and remainder would always be 0.
- ( 11⁷ +4⁷ )÷ 15 = 19,503,555 ÷ 15 = 1,300,237 so, remainder = 0
therefore, 0 is the required response.
#SPJ2
Similar questions
History,
7 hours ago
Math,
7 hours ago
Math,
7 hours ago
Computer Science,
13 hours ago
Math,
8 months ago