Math, asked by MridulAhi1234, 1 year ago

Solve and explain properly.

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Answered by samreeti
1
according to condition
p is related to any natural number
therefore let n=1
then 3 raised to power 4- 2 raised to power 4
3×3×3×3-2×2×2×2
81-16=65
65is divided by 5 and 13 =13 ,5 resectively

MridulAhi1234: If n becomes 2 or 3 or 4, answer may vary if we use this method
Answered by SillySam
12

Let n = 1.

Given p € N

So, p=1

3⁴×¹ - 2 ⁴×¹

= 3⁴ -2⁴

= 81 - 16

=6 5

Factors of 65 = 5×13

so, 3^4n -2^4n is always divisible by 13 and 5 .

Hence correct option is D - Both B and C.

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