((-4x^3)(y^4))^-3
--------------------------
(2xy^4)^-4
16x^4y^16
=------------------------
-64x^9y^12
-16y^4
=------------------------
64x^5
-y
=------------------------
4x^5
So the final answer is:
-y^4
-------
4x^5
(Btw if "^" is in front of a number, that means it is an exponent, so when your writing this on paper, just write it as a regular exponent without the "^". I had to do that since I'm on a computer.)
Hopefully this was helpful in some way.
(a/b)(c/d)=(ac/bd)
Therefore:
(5/4).(2/5)=(5*2)/(4*5)=10/20=1/2
(3/8).(-1/2)=(3*(-1)) /(8*2)=-3/16
(2/5)(5/2)=(2*5)/(5*2)=10/10)=1
(1/2)(1/3)=1/6
(-1/4)(-2/3)=[(-1)*(-2)] / (4*3)=2/12=1/6
A = event that the ball drawn from urn #1 is white
B = event that the ball drawn from urn #2 is white
P(A) = probability of event A
P(A) = (number of white in urn #1)/(number total in urn #1)
P(A) = 3/(3+6)
P(A) = 3/9
P(A) = 1/3
P(B) = probability of event B
P(B) = (number of white in urn #2)/(number total in urn #2)
P(B) = 3/(3+8)
P(B) = 3/11
Because A and B are independent events, we can multiply the probabilities
P(A and B) = P(A)*P(B)
P(A and B) = (1/3)*(3/11)
P(A and B) = (1*3)/(3*11)
P(A and B) = 1/11
Answer: Choice A) 1/11
That answer in the image is 450.
The amount of questions you need to get right depends on the amount of questions on the test/quiz.