equivalent expression for (a −7 ⋅b −2 ) −9 =?.
Answers
The equivalent expression of (a⁻⁷ . b⁻²)⁻⁹ is a⁶³b¹⁸
How to find equivalent expression?using the law of indices,
[tex](a^{x}) ^{y} = a^{x X y} =a^{xy}[/tex]
Therefore, we multiply the inner exponent by the outer exponent.
(a⁻⁷ . b⁻²)⁻⁹ = a⁻⁷ ˣ ⁻⁹ b⁻² ˣ ⁻ ⁹
a⁻⁷ ˣ ⁻⁹ b⁻² ˣ ⁻ ⁹ = a⁶³b¹⁸
Therefore,
(a⁻⁷ . b⁻²)⁻⁹ = a⁶³b¹⁸
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Related Questions
What is the simplest form of the radical expression 8?
Answers
1. Ina deposited $9,000 with a bank in a 10-year certificate of deposit yielding 5% compounded daily. Find the compound amount.
$12,771.18
$16,123.02
$14,837.98
$23,837.98
Answers
Answer:
14,837.98
Step-by-step explanation:
i just took a test and got it wrong with the answer the other person said , the test said this was the right answer :)
Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf, and gave 1/3 of the rest to his brother for an art project. How many inches was the piece Anthony gave to his brother.
Answers
Answer:
8 inches
Step-by-step explanation:
Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf
Step 1
The amount of board he used to build the shelf is calculated as:
= 3/4 of 8 foot board
= 3/4 × 8 foot
= 6 foot board.
Step 2
The amount of board left after building the shelf = The rest =
8 foot - 6 foot
= 2 foot
Step 3
We are told that he gave 1/3 of the rest to his brother for an art project
The amount of board he give his brother for an art project =
1/3 × 2 foot
= 2/3 foot
Step 4
How many inches was the piece Anthony gave to his brother?
We convert 2/3 foot to inches
1 foot = 12 inches
2/3 foot = x inches
Cross Multiply
x inches = 2/3 foot × 12 inches
x inches = 8 inches
Therefore, Anthony gave his brother 8 inches of board.
Angles 1 and 2 are supplementary. If angle 1 measures (2x +2)°, and angle 2 measures (x - 5)° what is the measure of each angle?
Answers
Answer:
angle 1 is = 124 angle 2 is = 56
Step-by-step explanation:
supplementary angles always add up to 180 so you can set up the equation (2x+2)+(x-5)=180 to find x. After solving you get x = 61 and then once you have x you plug it into the 2 equations you got for the angles to solve for 1 and 2.
Solve the system by substitution. x= 2y + 7 3x – 2y = 3 The solution is?
Answers
Hi there! Your answer is x = -2, y = -9/2
In coordinate point, we can write (-2,-9/2)
Please see the explanation below for a clear understand about the problem.
Any questions about the answer, feel free to ask in comment! :)
Step-by-step explanation:
Goal
Solve the system of equations by substitution method.Given
System of Equations[tex]\begin{cases} x=2y+7 \Longrightarrow (1)\\ 3x-2y=3 \Longrightarrow (2) \end{cases}[/tex]
Step 1
Since our x-term is the subject in the first equation, we can simply substitute x = 2y+7 in the second equation.Substitute x = 2y+7 in the second equation.
[tex]3x-2y=3\\3(2y+7)-2y=3[/tex]
We do this so we can solve for the y-term without any problems. (We need to get rid of a variable if there are more than one variable.)
Then we distribute/expand 3 in the expression.
[tex]6y+21-2y=3\\4y+21=3[/tex]
Step 2
Solve the equation for y-termTo solve the equation, we have to isolate the term that we want. For this scenario, we want to know the value of y-term. Therefore, we isolate y-term.
[tex]4y=3-21\\4y=-18\\y=-\frac{18}{4} \\y=-\frac{9}{2}[/tex]
Finally! we know the value of y which is -9/2. But we are not done yet!
Step 3
Substitute the y-value in any given equations.After we solve the equation, we have to substitute the value in any given equations. No need to substitute the value in both equations! Choose an equation to substitute the value in.
For this, I will be choosing an equation with less coefficients which is the first equation.
[tex]x=2y+7[/tex]
Substitute y = -9/2 in the equation.
[tex]x=2(-\frac{9}{2})+7\\x=-9+7\\x=-2[/tex]
We should get x = -2 as the answer. This is our last step for finding an answer. The next few steps are going to be how to check the answer for system of equations. Note that next few steps are optional. If you are not certain that the answer is wrong or right, it is highly advised to check the answer before jumping to a conclusion!
Optional Steps - Answer Check
To check the answer, we can simply substitute both x-value and y-value in any given equations. You can either choose only a single equation to substitute in ONLY if you are certain/sure that the answer is likely correct. Substituting in both equations are recommended for beginners.
Step 3
Substitute x = -2 and y = -9/2 in the system of equations.Step 3.1
Substitute in x = 2y+7[tex]x=2y+7[/tex]
From x = -2 and y = -9/2
[tex]-2=2(-\frac{9}{2} )+7[/tex]
Cancel 2 out.
[tex]-2=-9+7\\-2=-2[/tex]
As you can see, both sides are equal. That means the equation is true for x = -2 and y = -9/2.
Step 3.2
Substitute in 3x-2y = 3[tex]3x-2y=3[/tex]
Substitute x = -2 and y = -9/2 in the equation.
[tex]3(-2)-2(-\frac{9}{2})=3\\-6+\frac{18}{2}=3\\-6+9=3\\3=3[/tex]
Since both equations are true for x = -2 and y = -9/4. We can conclude that:
[tex]\huge\sf{x = -2 \ and \ y = -\frac{9}{2} \ are \ the \ solutions \ to \ the \ system \ of \ equations.}[/tex]
Hence, the answer is x = -2 and y = -9/2.
What is the polygon called?
Answers
Answer:
Trapezoid since it has one pair of parallel side and 4 sides.
What equation represents the linear function
Answers
Answer:
You should use the formula Y=mx+b
Step-by-step explanation:
You can use any of these answers...
Answer 1:
y=0.25x+1.00
Answer 2:
y=0.50x+1.75
Answer 3:
y=0.75+2.50
I hope this helps! You got it!!!!!
A square with a side length of 2 units is dilated in a coordinate plane using the origin as the center of dilation. The resulting square has a side length of 16 units. Determine the scale factor used to create this dilation
Answers
Answer:
2.5
Step-by-step explanation:
It is correct trust me.
GIVING BRIANLIST TO RIGHT ANSWER:: Math
Answers
Answer:
((4×6)×2l+((5×11)×3)=213
Step-by-step explanation:
The area of a triangle is base time height. A rectangles area is found by multiplying base time height. I this case multiply the triangles by two and the rectangles by three.
The circle is dilated by a scale factor of 3/4. What can
be concluded of the effect on the circle? Check all that
apply.
Answers
A B E are the answers
3. Solve for x. *
28
2r + 8
82
5x - 4
Answers
Answer:
28 and 62 and 45 is right
Step-by-step explanation:
What are the roots of 2x² – 5x + 2 = 0?
Answers
Marci purchased the rug shown. To the nearest hundredth, what area of floor space will the rug cover? (π = 3.14)
Answers
Answer:
63.59
Step-by-step explanation:
The area of floor space will the rug cover is 63.59 square feet.
The correct option is D.
What is a diameter?A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.
Given:
A rug is circular.
And diameter = 9 feet.
So, the radius of the circle is = 4.5 feet.
The area of floor space will the rug cover,
= πr²
= 3.14 x 4.5 x 4.5
= 63.59 square feet.
Therefore, the area is 63.59 square feet.
To learn more about the diameter;
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Find the slope of the line.
Answers
Answer:
Formula: Y=mx+b...
Step-by-step explanation:
Y=mx+b
M= Rise over run = 1/1b=y-intercept=0Answer: Y=1x
1/4x -5=3/4x-12 show two different ways to solve
Answers
Answer:
In the two different ways we have solved the given equation as
Step-by-step explanation:
Given expression is
To simplify the given expression in two ways:
First way:
Given
Multiplying 3 on both sides
(adding the like terms)
Dividing by 3 on both sides
Therefore the given expression is solved that
Another way:
Given
(adding the like terms)
Therefore the given expression is solved that
In the two different ways we have solved the given equation as
Please help.
Algebra.
Answers
C and A
hope that helps:)
Answer:
q1 i think it is c
q2 is a
Step-by-step explanation:
if correct plz mark as brainliest
thank you
19NBoli
right triangles and trigonmetry
Answers
Answer:
about them or u asked question
would this be the right answer??
Answers
Answer:
no your answer is wrong. the answer is 15.6
Step-by-step explanation:
it is a 30-60-90 degree triangle and as per the property ..
the side opposite to 30 degree angle is half of hypotenuse( I. e half of 18 that is 9)
the side opposite to 60 degree angle is √3/2 the hypotenuse.
that is √3/2 * 18
that is √3 * 9
that is 1.73 multiplied by 9 .....(as value of √3 is 1.73)
that is 15.57
rounding it to the nearest tenth it becomes 15.6
answer is 15.6 not 20.1
Find the area of a circle with diameter 31.6 cm, both in terms of p and to the nearest tenth. Use 3.14 for p.
Your answer:
A = 249.64p cm2» 783.9 cm2
A = 63.2p cm2» 198.4 cm2
A = 31.6p cm2» 99.2 cm2
A = 998.56p cm2» 3135.5 cm2
Answers
Answer:
Option (1)
Step-by-step explanation:
Formula to get the area of a circle is given by,
Area = πr²
Here r = radius of the circle
Since, Radius of a circle = [tex]\frac{\text{Diameter}}{2}[/tex]
Therefore, Radius of the circle with diameter = 31.6 cm will be,
Radius = [tex]\frac{31.6}{2}[/tex]
= 15.8 cm
Now Area of the circle = π(15.8)²
= 249.64π cm²
= 783.87 cm²
≈ 783.9 cm²
Therefore, Option (1) will be the correct option.
I'm writing an essay about the negative affects school can have on your mental health and life, so if you want tell in the answers
-thanks!
Answers
Answer:
Hi! I hope this helps a bit because I'm just gonna give a few things you can talk about...I'm not writing a whole essay lol...
School impacts us in an extremely large variety of ways. Personally, I think it has more negative effects than positive. For example, at a school environment, there are so many ways to get exposed to profanity by your peers. There are definitely ways to be engaged with people who impact your entire life because of swearing. Similarly, students can learn and get very involved in having horrible behavior. Last but not least, I know that bullying is a huge problem at school. Even if it's being done unintentionally, students can really harm both the physical and mental strength of others.
I hope this helps you out...have a great day ❤
Answer:
Step-by-step explanation:
I was born with glass bones and paper skin. Every morning I break my legs, and every afternoon I break my arms. At night, I lie awake in agony until my heart attacks put me to sleep.
Helppppp I’ll mark you brainlist
Answers
Answer:
-243
Step-by-step explanation:
Since your finding the 36th term and you know the equation plugin 36(as n) into the arithmetic sequence.
-7(36)+9 = -243
Malika charges $7.20 per hour for babysitting. She babysits 4 hours each week. She spends $10 per week and puts the rest of her earnings in a savings account. After 12 weeks, Malika’s grandparents put a gift of money in her savings account that is equal to 0.25 times the amount she has saved from her babysitting earnings.
Answers
Answer:
i think $18.80 sorry if i’m wrong
In a shipment of shirts to a clothing store, 2/5 of the shirts are blue and 3/10 of the shirts are red. If there are 20 shirts in the shipment, how many shirts are either blue or red?
Answers
Answer: 14
Step-by-step explanation:
Fraction of blue shirts = 2/5
Fraction of red shirts = 3/10
Number of shirts in the shipment = 20
The number of shirts that are either blue or red will be:
= (2/5 + 3/10) × 20
= (4/10 + 3/10) × 20
= 7/10 × 20
= 14
The number of shirts that are either blue or red is 14
can some answer thissss pleaseeee its due todayy!! ill mark brainliest!!
Answers
Answer:
1. ∠C = 90°2. ∠B = 90°3. ∠BAD = 90°4. ∠ADC = 90°5. ∠EDC = 90° - 53° = 37°6. ∠EDF = ∠DEC = 53°7. ∠FED = 90° - 53° = 37°8. ∠FEA = 90° - ∠FED = 90° - 37° = 53°9. ∠EFA = 90°10. ∠FAE = 90° - ∠FEA = 90° - 53° = 37°11. ∠EAB = 90° - ∠FAE = 90° - 37° = 53°12. ∠AEB = 90° - ∠EAB = 90° - 53 = 37°Answer:
Answer:
90°
90°
90°
90°
edc=180-90-53=37by sum of angle of triangle
edf=90-37=53
fed=cde=53alternate angle
fea=180-fae-efa=180-37-90=53
efa=180-90=90linear pair
fae=180-<e-edf=180-90-53=37
eab=90-fae=90-37=53
aeb=180-b-bae=180-90-53=37
What is the mean of the data set?
85, 97, 84, 88, 95, 100, 81
19
83
88
90
Answers
What you do is you add up all the data and then divide it by how many sets there are. So you would add up the numbers and get 630 and then you would divide it by 7. Which would get you 90. Hope this helps :)
Answer:
Option D "90"
Step-by-step explanation:
Please help !!!!!!
Solve for g.
247 = g + -54
g =
Answers
Answer:
301
Step-by-step explanation:
247+54 is 301
301+-54=247
Answer:
247 = g + -54
247+54=g
301=g
g=301
what is 32$ and a 16% markup? what’s the price being sold at
Answers
Answer $37.12
Step-by-step explanation:
32 * 16% = 5.12
5.12+32= 37.12
Can anyone solve this please , I suck at geometry
Answers
Answer:
(b). 27
Step-by-step explanation:
The sum of exterior angles of any polygon is 360°
2x° +56° + 4x° + 57° + 85° = 360°
6x° + 198° = 360°
6x° = 360° - 198°
6x° = 162°
x = 27
Elena starts to walk home from school, but has to turn around and go back because she left
something in her locker. On her way back home (the second time), she runs into her friend
who invites her to the library to do homework with her. She stays at the library and then
heads home to do her chores. Determine:
.
Which graph fits Elena's story.
.
What the two quantities are.
.
Which quantity is a function of which.
Answers
Answer:
the first one
Step-by-step explanation:
Help on the question I don’t understand it ?
Answers
Answer:
You have to first find a ratio. Then, draw a double number line representing the ratio. Finally, you must write a sentence describing the situation. Also use the word per in the sentence.
HOPE THIS HELPED AND SO SORRY IF IT DOESN'T