3 years ago

Prove that:

Mathematics

1 answer:

Likurg_2 [28]3 years ago

3 0

Step-by-step explanation:

16⁴ - 2¹³ - 4⁵

= 2¹⁶ - 2¹³ - 2¹⁰

= 2¹⁰(2⁶ - 2³ - 1)

= 2¹⁰(64 - 8 - 1)

= 2¹⁰ * 55

= 2¹⁰ * 5 * 11.

Since it contains 11 in its prime factorization, it is divisible by 11. (Proven)

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