Simplify the expression:
The picture is down below

Step-by-step explanation:

You are going to need to know two properties of exponents.  

Also know that a*b = b*a, so youc an change the order of multiplication.  

Since everything is being multiplied in the numerator, and there is only multiplication, it's actually super easy to start.  Just multiply everything.

so now you have

Again, since the numerator and denominator only have multiplication you can divide part by part.  so the number divides the number, the x term divides the  term and the y term divides the y term

-16/-4 = 4

x^14 / x^-7 = x^21

y^-1 / y^6 = y^-7

So all together that makes

The final step in simplifying is making all negative powers into fractions.  Sometimes non whole numbers can be made into roots.  Definitely make negative powers fractions though

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

its an acute right triangle

step-by-step explanation: