loriebarlam loriebarlam

02-03-2020
Mathematics

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Prove that, 36^7−6^13 is divisible by 30.

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amna04352 amna04352

02-03-2020

Answer:

36⁷ = (6²)⁷ = 6¹⁴

6¹⁴ - 6¹³

= 6¹³(6 - 1)

= 6¹³(5)

= 6¹²(6)(5)

= 6¹²(30)

Hence a multiple of 30

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