Find the multiplicative order of 5 and 7 in z16

1 answer:

3 0

$5\equiv5\mod{16}$
$5^2=25\equiv9\mod{16}$
$5^3\equiv5\cdot9\equiv45\equiv48-3\equiv-3\equiv13\mod{16}$
$5^4\equiv9^2\equiv81\equiv1\mod{16}$
$5^5\equiv5\cdot1\equiv5\mod{16}$

$7\equiv7\mod{16}$
$7^2\equiv49\equiv48+1\equiv1\mod{16}$
$7^3\equiv7\cdot1\equiv7\mod{16}$

You might be interested in

Please please help me -

Hitman42 [59]

Answer:

Step-by-step explanation:

7 0

3 years ago

The Tom Joyner Morning Show is a nationally syndicated African American talk show with millions of listeners in many cities

TiliK225 [7]

That statement is True

3 0

3 years ago

Please help I will reward brainly

krok68 [10]

Hi there!

Since the sum of all angles in any triangle always adds up to 180 degrees, we can calculate this and solve for x.

4x + x + x = 180°
6x = 180
180 ÷ 6 = x
x = 30

So, now we know that x is 30°.

Hope this helps!

7 0

3 years ago

a worker A finishes a project on his own in 12 days. the worker completes the same work alone in 16 days. the two workers starte

ankoles [38]

Answer:

<em>Worker B needs 9 days to finish the rest of the work</em>

Step-by-step explanation:

<u>Proportions</u>

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

$\frac{1}{12}+\frac{1}{16}=\frac{7}{48}$