1 and 11/12 hours I think
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.

They are terms<span> that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only </span>like terms<span> can be combined. We combine </span>like terms<span> to shorten and simplify algebraic expressions, so we can work with them more easily.</span>
This regular polygon, having eight sides and 45º angle in similar parts, when rotating 360º, will find a similar image and a similar angle of 45º, therefore dividing the angle of 360º by 45º will be the Number of coincidences<span> in image.
</span><span>Solving, thus, we have:
</span>

<span>
</span>
Step-by-step explanation:
We will prove by contradiction. Assume that
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that
. Then, for some integer
,

Therefore

Here we will use the formula for the sum of odd powers, which states that, for
and an odd positive number
,

Applying this formula in 1) we obtain that
.
Then, as
we have that
is not a prime number, which is a contradiction.
In conclusion, if
is an odd prime, then n must be a power of 2.