Which shows the following expression after the negative exponents have been eliminated?
StartFraction a cubed b Superscript negative 2 Baseline Over a b Superscript negative 4 Baseline EndFraction, a not-equals 0, b not-equals 0
StartFraction a cubed b Superscript negative 4 Baseline Over a b Superscript negative 2 Baseline EndFraction
StartFraction a b Superscript 4 Baseline Over a cubed b squared EndFraction
Negative StartFraction a cubed b Superscript 4 Baseline Over a b squared EndFraction
StartFraction a cubed b Superscript 4 Baseline a b squared EndFraction
Answers
The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]
And a ≠ 0 and b ≠ 0.
The negative exponents have been eliminated.
We know that 1/a⁻ⁿ = aⁿ.
Simplify the expression, then the expression will be
[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]
The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].
Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Related Questions
The mean score on a set of 16 tests is 90. What’s the sum of all the test scores?
Answers
Verbal description of a rotation requires: Click all that apply.
-Center Point
-Horizontal Movement
-Vertical Movement
-Degree of Rotation
-Scale Factor
-Direction of Rotation
Answers
Answer:
A
C
D
Step-by-step explanation:
I copied some smart kid
Please need help thank you
Answers
What is the absolute value of the complex number 4-V3/?
O 32
O 14
O 18
Answers
Answer:
[tex]3\sqrt{2}[/tex]
Step-by-step explanation:
The Magnitude of a Complex Number
A complex number is expressed in rectangular form as:
[tex]Z=a+ b\mathbf{ i}[/tex]
The absolute value or magnitude of Z is calculated as follows:
[tex]\mid Z\mid=\sqrt{a^2+b^2}[/tex]
We are given the number
[tex]Z=-4-\sqrt{2}\mathbf{ i}[/tex]
Here: a= -4, b=[tex]-\sqrt{2}[/tex]
Calculating the absolute value:
[tex]\mid Z\mid=\sqrt{(-4)^2+(-\sqrt{2})^2}[/tex]
Operating:
[tex]\mid Z\mid=\sqrt{16+2}=\sqrt{18}[/tex]
Factoring 18:
[tex]\mid Z\mid=\sqrt{3^2*2}[/tex]
Taking the square root of 3^2:
[tex]\mid Z\mid=3\sqrt{2}[/tex]
Answer: [tex]\mathbf{3\sqrt{2}}[/tex]
Johnny made 8 benches in 2 hours. At this rate, how
many benches will he make in 9 hours.
plzzzzzzzzzz!!!!!!!! help on thissss
Answers
Answer:
36
Step-by-step explanation:
4 benches in 1 hour
? benches in 9 hours
36 benches
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
36 is the answer :)
Step-by-step explanation:
What can run but cannot walk?
Please help
Answers
Answer:
River
Step-by-step explanation:
ok dear
River can run the water fast but can't walk
PLEASE I NEED HELP ASAP THIS IS ALSO MIDDLE SCHOOL/ pancho writes a check for $140 a month for the electric bill. He writes another check for $105 four times a year for the water bill. He writes a check for $55 a month for the phone and internet bill. Write an expression involving multiplication and addition to describe how these expenses affect his checking account balance on a yearly basis. Then evaluate the expression and explain its meaning.
Answers
Answer:
140x12+105x4+55x12= 86,340 a month
Step-by-step explanation:
Been trying to get this one answered for months, will make the first one to answer a brainliest :D Please explain how you did it so I can do the next one? Thanks in advance
Answers
Answer:
[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
In order to find the slope of a line you must find where the points intersect, use the formula for slope, substitute values, and simplify if needed.
In this case we were already given the points for slope:
[tex]P1=(-4,-4) = (x1,y1)[/tex]
[tex]P2=(-2,3)=(x2,y2)[/tex]
Slope formula:
[tex]slope = \frac{y2-y1}{x2-x1}[/tex]
Now substitute:
[tex]\frac{-2--4}{3--4}[/tex]
Solve using KCC: (Keep, Change, Change)
[tex]-2+4=2[/tex]
[tex]3+4=7[/tex]
=[tex]\frac{2}{7}[/tex]
Because the slope isn't a negative you do not need to simplify the answer.
Hope this helps.
PLEASE HELP!!!!! -x+y= -2
A 5,3
B 4,2
C 3,1
D 2,0
Answers
Answer:
All of the above.
Step-by-step explanation:
All of the above are equal to 5,2. I hope this cleared things up! ^w^
2.5 divided by 1.5 round to nearest tenth
Answers
Answer:
1.7
Step-by-step explanation:
2.5÷1.5
5/3
1.66666
1.7
The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2.5 divided by 1.5
So, 2.5 / 1.5
= 25 x 10 / 15 x 10
= 25/15
= 5 x 5 / 5 x 3
= 5/3
Hence, the divisions results to 5/3 or 1.6667
Learn more about Division here:
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(PLZ ASAP ANSWER !!!!!!)The number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded. Which statement explains whether −2.5 can be a value in the shaded region? (5 points) Yes it can, because −2.5 lies to the left of −0.5. Yes it can, because −2.5 lies to the right of −0.5. No it cannot, because −2.5 lies to the left of −0.5. No it cannot, because −2.5 lies to the right of −0.5.
Answers
it is a. Yes it can, because −2.5 lies to the left of −0.5. plz mark me as brainiest and tell me if I am wrong
If there are 32 desks in the classroom and 25% of them are broken, how many
desks are broken?
4
10
8
5
Answers
Answer: 8 of them are broken
Answer:
32 × 25
100
16 × 25
50
8 × 25
25
200
25
8
The answer is 8
Edit:-
i had made a calculation error in this answer...
i realised my mistake and corrected it...
im sorry for the inconvienience caused...
future readers of this answer, do not thank this answer, i dont deserve it...
which expression is equivalent to to 4(3+5)-3.92
Answers
Answer:
C: 12+20-54
Step-by-step explanation:
4(3+5)-3.92= -22
12+20-54= -22
:))
Solve the system of equations.
x + 3y = -1
2x + 2y = 6
Answers
Answer:
y= -2
x = 5
Step-by-step explanation:
Multiply the top equation by 2 to get
2x + 6y = -2
then subtract the bottom equation by the new equation to get
2x + 6y = -2
--------------------
2x + 2y = 6
which is
4y = -8
y = -2
If y = -2
Then plug -2 into y in the top equation to get x + 3(-2) = -1 and simplify which is
x + (-6) and add 6 to both sides to get x = -1 + 6
which is x = 5
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Two hats, two t-shirts, and one jacket cost $141. Three hats, three t-shirts, and two jackets cost $239. One hat, three t-shirts, and three jackets cost $262. Find the prices of the individual items.
Answers
Answer:
Step-by-step explanation:
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Diane ran 28.6 miles in a marathon She averaged 6 minutes per mile. How many total minutes did Diane run?
Answers
Answer:
171.6 minutes
Step-by-step explanation:
28.6*6
PLEASE HELP!!!!!!!
The temperature is 56°F. The temperature decreases for 6 hours. Each hour, the temperature decreases by 3°F. Then the temperature rises 12°F in one hour. What is the temperature after 7 hours?
Answers
Answer:
50 degrees
Step-by-step explanation:
3 x 6 = 18
56 - 18 = 38
38 + 12 = 50
Joey's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 35
coffees in all, 7 of which were regular. What percentage of the coffees were regular?
Write your answer using a percent sign (%).
Answers
Answer:
20%
Step-by-step explanation:
Step 1:
7/35 Divide
Step 2:
1/5 Simplify
Step 3:
20/100 Multiply
Answer:
20%
Hope This Helps :)
Answer:
Joey's Cafe sold 20% regular coffee and 80% decaffeinated coffee.
Step-by-step explanation:
We are given that the cafe served 35 coffees. We are also told that of those 35 coffees, 7 coffees were regular.
Therefore, we can divide the number of regular coffees by the total number of coffees sold to get the percentage of regular coffees.
Our ratio will be set up as 7 regular coffees : 35 total coffees. We can also represent this as a fraction.
[tex]\displaystyle\frac{7}{35}=\frac{1}{5}\\\\\frac{1}{5}=0.2\\\\0.2 \times 100 = 20\%[/tex]
Therefore, of the coffees sold at the cafe, 20% of those coffees were regular.
Additionally, we can subtract this percentage from 100 to find out how much of the sales were decaffeinated coffee.
[tex]100\% - 20\% = 80\%[/tex]
Joey's Cafe sold 80% decaffeinated coffee.
A board 14 1/4 inches long is cut from a board that is 4 feet long. If the width of the saw cut is 1/8 inch, what is the length of the remaining piece?
Answers
Answer:
Step-by-step explanation:
From the given information;
since;
1 feet = 12 inches long
Then, 4 feet = (4 × 12)inches long
= 48 inches long
Thus, the length of the remaining piece is calculated as follows:
Length of remaining piece = Total length of piece - (piece that was being cut + width )
[tex]= 48 - (14 \dfrac{1}{4}+ \dfrac{1}{8})[/tex]
[tex]= 48 - ( \dfrac{57}{4}+ \dfrac{1}{8})[/tex]
[tex]= 48 - ( \dfrac{114+1}{8})[/tex]
[tex]= 48 - ( \dfrac{115}{8})[/tex]
[tex]= \dfrac{269}{8}[/tex] inches
8y-2x=-72 in slope form
Answers
Answer:
y=1/4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b.
8y-2x=-72
Add 2x to both sides
8y=2x-72
Divide both sides by 8.
y=1/4x-9
HTH :)
In a fruit basket there are 9 bananas 4 apples and 3 plums 1. The ration of bananas to apple is ________:_________. 2. The ration of plums to apples is __________to________. 3. For every __________apples, there are ______plums. 4. For every 3 bananas there is one _________.
Answers
Answer:
1. 9:4 2. 3:4 3. for every 4 apples there are 3 plums 4. plum
Step-by-step explanation:
1. there are 9 bananas and there are 4 apples.
2. there are 3 plums and there are 4 apples
3. there are 4 apples so there are 3 plums
4. 9 divided by 3 = 3. 3 divided by 3 = 1
Four movie tickets cost $36. At this rate, what is the cost of 5 and 11 movie tickets Please answer!
Answers
Complete the point-slope equation of the line through (−5,4) and (1,6).
Answer:
y-6=
Answers
Slope intercept form Y=1/3x+17/3
what is an equation with more than one variable called
a.a literal equation
b.a variable
c.an expression
d.a quadratic equation
Answers
Answer:
option A
a variable is a number which is always changing
an expression doesn't have an equal sign
a quadratic equation is an equation which has one variable but the highest power of that variable is 2
so the answer is a literal equation or linear equation in two variables
Write a problem in which$180 would be a reasonable answer
Answers
Answer:
um ill do to cause im in algerbra
Step-by-step explanation:
$30+$150=$180
5x+105=180
5x=75
x=15
Answer:You have to buy Christmas presents for your 3 kids Samantha wants the harry potter book set 50$ Casey want the sims 4 game 40$ and your oldest kid Johnny wants the new drone 90$.
Step-by-step explanation:
what is 60,000,000,000+800.000,000,000=?
Answers
Answer:
130.000,000,000
:)
Step-by-step explanation:
888383883838383dStep-by-step explanatio
I need help please.
Answers
Answer:
e
Step-by-step explanation:
if there were 1600 frogs shaking their butts on lily pads and 199 of them leave how much frogs are still shaking their butt on lily pads
Answers
Answer:
if there were 1600 frogs shaking their butts on lily pads and 199 of them leave, 1401 frogs will still be shaking their butts.
Step-by-step explanation:
what is the correct evaluation of 3x-x+2,when x is equal to -4?
14
-6
6
-14
Answers
3(-4)-(-4)+2
-12+4+2
-8+2
-6
Answer:
(b) -6
Step-by-step explanation:
=3x-x+2
=3(-4)-(-4)+2
=-12+4+2
=-12+6
=-6
ADD NOTE
QUESTION GUIDE
EXIT TEST
6.
Raul spent 2
hours shopping for new clothes on Saturday,
1
O
Raul spent
hours shopping for shoes.
10
3
• He spent hour shopping for pants
2
• He spent
hour shopping for shirts
3
• He spent the rest of the time shopping for shoes
о
Raul spent
5
7
hours shopping for pants and shirts.
Raul spent the same amount of time shopping for shoes
as he spent shopping for pants.
O
Based on this information, which statement is true?
о
1
Raul spent
hours more time shopping for shoes than
6
he spent shopping for shirts.
e
CLEAR ALL
Answers
Answer:
D. Raul spent the same amount of time shopping for shoes as he spent shopping for pants
Step-by-step explanation:
just trust me :)