The expression 26n – 42n, where n is a natural number is always divisible

Question

The expression 2⁶ⁿ – 4²ⁿ, where n is a natural number is always divisible by

Options:

A . 15

B . 18

C . 36

D . 48

Answer: Option D
Answer: (d)
The expression 26n − 42n = (26)n − (42)n
= 64n − 16n
Which is divisible by 64 –16= 48
Therefore the required answer is 48.

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