3 years ago

Helllohello help please if you want -

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e

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Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.

torisob [31]

Fermat's little theorem states that
$a^p$ ≡a mod p

If we divide both sides by a, then
$a^{p-1}$ ≡1 mod p
=>
$a^{17-1}$ ≡1 mod 17
$a^{16}$ ≡1 mod 17

Rewrite
$a^{1000000}$ mod 17 as
$=(a^{16})^{62500}$ mod 17
and apply Fermat's little theorem
$=(1)^{62500}$ mod 17
=>
$=(1)$ mod 17

So we conclude that
$a^{1000000}$ ≡1 mod 17

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4 years ago

Please help Regroup and write your answer in simplest form

garik1379 [7]

First you should write 2 3/4 as a decimal, 2.75 then multiply 2.75 by 2 to get 5.5. 5.5 equals 5 1/2.
Ms. Addison needs 5 1/2 cups of flour.

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3 years ago

Choose the sets to which this number belongs: 1/3 (can be more than one answer)

Lostsunrise [7]

1/3 is a rational number

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2 years ago