3 years ago

(1.2·10⁴)(3.2·⁵) i forgot how to do this please help

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Answer:

$3.84 * 10^{9}$

Step-by-step explanation:

$\\\\(1.2 * 10^{4}) * (3.2 * 10^{5}) = 1.2 * 3.2 * 10^{4} * 10^{5} = 3.84 * 10^{4+5} = 3.84 * 10^{9} \\\\$

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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
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=>
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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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