√(54a^-4÷6a^-8) solve this Indices question.
Answers
Answer:
3a^2
Step-by-step explanation:
solve as follows by using the laws of indices
Index or indices determines how many times a phrase has been multiplied by itself. The value of the given indices expression will be 3a².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The radical is the symbol that is used to represent the root in the expression n√x, while an index or indices determines how many times a phrase has been multiplied by itself, it is represented by a tiny number in the superscript form.
The given indices expression can be solved as shown below.,
[tex]\sqrt{\dfrac{54a^{-4}}{6^{-8}}}[/tex]
[tex]= \sqrt{\dfrac{54(a^{-4})(a^{8})}{6}}[/tex]
[tex]= \sqrt{\dfrac{54(a^{-4+8})}{6}}\\\\= \sqrt{\dfrac{54(a^4)}{6}}[/tex]
= √(9a⁴)
=√(3a²)²
= 3a²
Hence, the value of the given indices expression will be 3a².
Learn more about Expression here:
https://brainly.com/question/13947055
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Related Questions
-3x+12=24 what is the x intercept
Answers
Answer:
x = -4
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Answer:
The x intercept is -6.
Step-by-step explanation:
12 - 24 = 12
-3xc = 12
-3/12 = -6
x = -6.
5.201 × 10
pls now
help
Answers
Answer:
52.01
Step-by-step explanation:
5.201 x 10, move the decimal to the right.
52.01
Answer: 52.01
I believe it is 52.01.
Sorry if it isn't correct.
I tried my best.
Hope this helps!! :'(
can you write 19,509,000,000 in scientific notation move the decimal)
Answers
Answer:
= 1.9509 × 10^10
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Every Friday, Jesse puts $3 into his piggy bank. is it discrete or continuous?
Answers
Answer:
I would think continuous if she does it constantly every friday night
Step-by-step explanation:
Answer:
continuious
Step-by-step explanation:
PLEASE HELP ME WITH MY PERSONAL NARRATIVE ESSAY
Answers
its a personal essay...
What is the angle measure to angle a
Answers
Answer:
56
Step-by-step explanation:
180 - 56 = 124
so, angle a = 124 degrees
hope this helps!! <3
) You owe $135. on your credit card. You make a $45. payment and then purchase $97 worth of clothes at Kohl’s. What is the integer that represents the balance owed on the credit card?
Answers
Answer:
$ 187
Step-by-step explanation:
Assuming the credit card is for Kohl's,
You make a 45 dollar payment: your debt goes down by 45
You make a 97 dollar purchase: your debt goes up by 97
135-45+97
Your current debt is 187 dollars. Not a nice way to live if you ask me!
Simplify 1x + (-4 - 56) + 123.5 x 56x
Answers
Answer:
1x+(-4-56)+123.5×56x=
1x+(-4)+(-56)+123.5×56x=
1x+(-60)+123.5×56x=
-61x+123.5×56x=
184.5x×56x=
10332x¹+¹=
10332x²
Solving Steps:
what is the vaule of x?
Answers
Answer:
-1
Step-by-step explanation:
all of them add up to 1
you have 6 pieces confirmed to be the value of 1
if 5 blocks so if they all equal-1 then you'd have to add 6 + (-5) then you'd get 1
hope this helped
What is the volume of the figure below, which is composed of two cubes with side lengths of 9 units?
A.
54 cubic units
B.
729 cubic units
C.
1,458 cubic units
D.
810 cubic units
Answers
Answer:
C. 1458 cubic units
Step-by-step explanation:
one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.
V= L × W × H
= 18 × 9 × 9
= 1,458
hope this helped youuu
Answer:
C. 1458 cubic units.
Step-by-step explanation:
one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.
V= L × W × H
= 18 × 9 × 9
= 1,458
Hope this helps you!!
Please Mark me Brainleast!!!!!!!
what is the value of p? 13^2 = p
Answers
The table and statement show the hours worked and the amounts paid for two workers.
A table labeled Worker A Earnings. It contains a row for Hours worked with the amounts 7, 12, 21, 33, 40, and a row for Amount paid with the amounts 87.50, 150, 262.50, 412.50, and 500.
Worker B earns $11.25 per hour
Which statements about the rates of pay for the two workers are true?
Select each correct answer.
Worker A earns less per hour than Worker B.
Worker B earns more after 10 hours than worker A.
Worker A earns $12.50 per hour.
After 20 hours of work, Worker A earns more than Worker B.
Answers
1st statement is correct
2nd statement is correct.
finding the average hours worker A does and then the average amount paid i got
average hrs = 22.6 hrs and average amount paid= $250
so comparing them to one hr i got the amount paid to worker A in one hr which is $1.11
so compare to worker B earnings and find the true statements
Answers:
Worker A earns $12.50 per hour.After 20 hours of work, Worker A earns more than Worker BProof:
( Down below!! )
[ I hope this helps!!! ]
-GXLDIE <3
8(k - 6) +58 = 2(4k + 5)
one solution
no solutions
infinite solutions
Answers
Answer:
infinite solutions
Step-by-step explanation:
Given
8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides
8k - 48 + 58 = 8k + 10 , that is
8k + 10 = 8k + 10
Since both sides are equal then any value of x will make the equation true.
There are an infinite number of solutions
Which numbers are less than –83? Select all that apply.
A -2.6 repeating
B. -2.76
C - 2 1/4
D -11/4
E -2
Answers
Answer:
I am pretty sure the answer -2.76 and -11/4
Step-by-step explanation:
 what is the slope of the line Y= -4
Answers
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9 and FG = 3x +17
Answers
Answer:
The length of EG is 58 units
Step-by-step explanation:
The midpoint of a segment divides it into two equal part
Let us use this rule to solve our question
∵ E, F, and G are collinear points
∵ Point F is the midpoint of segment EG
→ That means F divides EG into 2 equal segments EF and FG
∴ EF = FG
∵ EF = 5x + 9
∵ FG = 3x + 17
→ Equate them
∴ 5x + 9 = 3x + 17
→ Subtract 3x from both sides
∵ 5x - 3x + 9 = 3x - 3x + 17
∴ 2x + 9 = 17
→ Subtract 9 from both sides
∴ 2x + 9 - 9 = 17 - 9
∴ 2x = 8
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}=\frac{8}{2}[/tex]
∴ x = 4
→ Substitute x by 4 in EF and FG to find their lengths
∵ EF = 5(4) + 9 = 20 + 9 = 29
∵ FG = 3(4) + 17 = 12 = 17 = 29
∵ EG = EF + FG
∴ EG = 29 + 29 = 58
∴ The length of EG is 58 units
What is the reciprocal of 6 1/5
Answers
Answer:
0.16129032258 or maybe just 0.161
Step-by-step explanation:
Representing each situation by translating it to algebraic expression.
- a motorcycle driver travels 15kph faster than a bicycle rider. the motorcycle driver covers 60km in two hours less than the time it takes the bicycle rider to travel the same distance.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Motorcycle driver travels 15kph faster than a bicycle rider
Motorcycle covers 60km in 2 hours less than the time it takes bicycle rider to travel the same distance ;
Let bicycle rider's speed = r kph
Motorcycle driver's speed = (15 + r) kph
TIME it takes bicycle rider to cover a distance of 60km = t hours
TIME it takes motorcycle driver to cover a distance of 60km = (t - 2) hours
solve for U
32=2u
Simplify your answer as much as possible.
Answers
Answer:
16
Step-by-step explanation:
32 divided by 2 equals 16 so u = 16
You do 32/2 to get U, 32/2=16 so that would be your U.
Hope this helps!
Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.
Answers
Answer:
gdgdgdgdgddggddggdgddggd
Step-by-step explanation:
Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.
Answers
Answer:
y = 1.37
Step-by-step explanation:
30y = 41.10
divide both sides of the equation by 30
30y/30 = 41.10/30
y = 41.10/30
y = 1.37
At park junior high 10% or 160 of the students play a musical instrument how many students attended the school? Which statements are correct check all that apply. A.the total number of students is 160 C.the percent to whole ratio is 10/100 D.the percent as a part to whole ratio is 160/100 E.there are 1600 students in the school F.there are 250 students in the school.
Answers
Answer:
B, C, EStep-by-step explanation:
10% ⇔ 160100% ⇔ 10*160 = 1600Note. Got full answer options elsewhere
A. The total number of students is < 160.
Incorrect (1600>160)B. The total number of students is > 160.
CorrectC. The percent as a part-to-whole ratio is 10/100.
CorrectD. The percent as a part-to-whole ratio is 160/100.
Incorrect (10/100)E. There are 1,600 students in the school.
CorrectF. There are 250 students in the school.
Incorrect (1600)Answer:
B and C and E are 100% correct
Step-by-step explanation:
I completed this and got it right. Hope it helps !
An electronics manufacturer has 175 capacitors and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 35 circuit boards. Identify and interpret the intercepts, then use the intercepts to graph the line
Answers
Answer:
its on google
Step-by-step explanation:
Are the following ratios equivalent? Explain.
2:10
6:60
Answers
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
Meg has a can that contains 80% orange juice and the rest water. The can has 1 liter of water.
Part A: Write an equation using one variable that can be used to find the total number of liters of orange juice and water in the can. Define the variable used in the equation. (5 points)
Part B: How many liters of orange juice are present in the can? Show your work. (5 points)
help
Answers
Answer:
1w+4o=5
Step-by-step explanation:
w=water o=orange juice there is 4 liters of orange juice
Answer:
80% juice : 20% water
x : 1 liter
80 ÷ 20 = 4
1 liter x 4 = 4 liter
x = 4
Part a = x÷4 or x/4
Part b = 4 liter
Step-by-step explanation:
Is the point (20,13) on this line? Explain your reasoning
Answers
Answer:
Not sure what the "line" is! But I put a graph down below!
Step-by-step explanation:
To plot ( 20 , 13 ) , start at the origin ( 0 , 0 ) and move right 20 units and up 13 units.
Well I don’t know the answer lol but I’m just showing people that don’t know what it is.
george is going to rent a car for 10 hours to use for travel. he will figure his cost by using the chart below. what is his cost for 10 hours?
Answers
Answer:
Where's the chart?
Step-by-step explanation:
Question 30
A person standing 44 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles
are similar.
Please help!!!
Answers
Answer:
a. 26 ft
Step-by-step explanation:
When triangles are similar their sides are proportional
4/8 = h/(44+8)
1/2(52) = h
h = 26
Which statement best models the equation 10+(−10)=0 ?
Answers
Slope of -3,2 need help
Answers
Answer:
I think the answer is 2/-3
Step-by-step explanation:
-3/2
x y
Rise/Run
