PLEASE HELP Prove that: 2^13–2^10–2^9 is divisible by 13

Mathematics

1 answer:

insens350 [35]3 years ago

8 0

Answer:

See below.

Step-by-step ,explanation:

2^13 – 2^10 – 2^9

Take out the GCF, 2^9 :

= 2^9 (2^4 - 2 - 1)

= 2^9(16 - 3)

= 13 * 2^9.

So it must be divisible by 13.

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