Math, asked by jeevan1098, 13 hours ago

if 11 to the power 7 + 4 to the power 7 is divided by 15 then the remainder is​

Answers

Answered by mallikasingh0
2

Answer:

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Answered by AneesKakar
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.

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