Recall Euler's theorem: if
, then

where
is Euler's totient function.
We have
- in fact,
for any
since
and
share no common divisors - as well as
.
Now,

where the
are positive integer coefficients from the binomial expansion. By Euler's theorem,

so that

Answer:

Step-by-step explanation:
Insert the given x values for the given equation to find the corresponding y coordinate:


Insert -6:

Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):

Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):

Insert -1:

Insert 1:

:Done
Answer:
4.5
Step-by-step explanation:
3 = 9/3
2/3 goes in 9/3 4.5 times
Answer:
12375
Step-by-step explanation:
one rotation: 495
25 rotations x 495 seconds
12375 seconds