Remember, to solve this, you multiply the bigger numbers and add the exponents. if the exponents are negative they go on the bottom and are switched to a positive, you are trying to make the problem positive.
number 15 is A because you multiply 2 and 4 to get 8 and you add the exponents together if they are positive and are not a fraction
number 16 is D because you multiply all the bigger numbers together to get 48, then you add all the b's together to get four and all the a's to get 8
number 17 is D because you do the same by multiplying 5 and 3 to get 15, then adding the exponents to get 3 x's and 6 y's
number 18 is D because you multiply 5 and 2 and add the exponents to get 3 x's and 5 y's because the x without a number is a one so you make that one count and add 2 and one together to get 3
number 19 is B because the smaller number is negative so the y goes to the bottom and it becomes a y^3
number 20 is A because both exponents are negative and go to the bottom and become positive
number 21 is D because its the same case as number 20
Lastly Number 22 is B
I hope this helps and is correct lol
Answer:
(5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625
Step-by-step explanation:
The applicable rules of exponents are ...
√a = a^(1/2)
(a^b)^c = a^(bc)
__
You have √((5-b)^8) = ((5 -b)^8)^(1/2)
= (5 -b)^(8/2) = (5 -b)^4
Sometimes, "simplify" means "remove parentheses".
(5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625
Step-by-step explanation:
19. x is less than or equal to 5
20. x is less than - 1
21. x is greater than - 1
22. x is less than - 5
23. x is less than 2
24. x is less than or equal to - 5
The volume of the cylinder is 254,571.43cm³.
The surface area of the cylinder is 22,628.57 cm².
<h3>What is the volume of the cylinder?</h3>
A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder =πr²h
- π = 22/7
- r = radius = diameter / 2 = 60/2 = 30cm
22/7 x (30²) x 90 = 254,571.43cm³
Surface area = 2πrh + 2πr²
(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)
16, 971.43 + 5657.14 = 22,628.57 cm²
To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219
#SPJ1
