Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7

A^11b^17

1/a^11b^17

1/a^7b^3

A^7b^3

Answers

Answer 1

Answer:

a^7 b^3

Step-by-step explanation:

The question can be interpreted as

[(a^9)( b ^10)] / [(a^2 )×( b ^7)]

Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have

a^(9-2) × b^(10-7)

We can simplify by performing substraction on the power

= a^7 b^3


Related Questions

Use the distributive property to write an expression that is equivalent to 12 + 4x.

Answers

Answer:

10+2+4x

Step-by-step explanation:

its very simple but still right because 10 and 2 is 12 and well 12+4x is the thing you want to have the same as

A shop has a fridge in a sale.The shop gives an extra 10% off the sale price of the fridge. Oliver says,"Altogether this is a saving of 30%"Is he correct?

Answers

Answer:

He is incorrect

Step-by-step explanation:

Given

[tex]Price\ off = 10\%[/tex]

Required

Is the total savings, 30%

From the question, we understand that the price of is 10%.

Since there is no other deduction to the original price of the fridge, then the 10% represents the total savings.

Hence: 30% savings is incorrect.

Simplify square root of .49x^18 where x<0

Answers

Answer:

-.7x^9

Step-by-step explanation:

The solution of the expression 49x¹⁸ will be 7x⁹.

What is a radical expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The radical sign, which may be read as either the nth root of x or x radical n, expresses the root of a number. The vinculum, or horizontal line that encircles the number, and the radicand, or number beneath it, are both technical terms.

The given expression is 49x¹⁸. The value of the expression will be solved as:-

E = √( 49x¹⁸)

E = √ (7² x x¹⁸ )

E = 7x⁹

Therefore, the square root will be equal to 7x⁹.

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I need help with this problem

Answers

Answer:

24

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

3/7 of the students in a school are in sixth grade. How many students are in the school if 63 of them are sixth graders?

Answers

Answer:

There are 147 students in the school.

Step-by-step explanation:

3/7 of the students are in sixth grade, 63 students are in the sixth grade.

take 63 and divide it by the numerator, 3, you get 21.

You now multiply the fraction by 21 to get the full number of students in the school.

3 * 21 = 63, 7 * 21 = 147

So 63 sixth graders out of 147 total students in the school.

HELPP QUICK PLSS :’( BEFORE I HAVE A BREAKDOWN NO BITS NO LINKS OR ANSWERS TO GET POINTS I REALLY NEED THE HELP AND CHOOSE MORE THAN ONE PLSS Which of the following equations describes the line shown below? Check all
that apply.
(-4, 10)
(-7,-5)

Answers

Answer:

a, c, d

Step-by-step explanation:

answers are A, C and D

Please help!! Will give brainliest! Giving lots of points!

Answers

Answer:

d) [tex](9*3/4)+y[/tex]

Step-by-step explanation:

b) [tex]9+y*(3/4)[/tex]

This expression is not equivalent, as the original expression, [tex]y+9*\frac{3}{4}[/tex] , has 9 multiplied to [tex]\frac{3}{4}[/tex] instead of y. You can interchange values like this when it comes to addition, but not multiplication.

c) [tex](y+9)(3/4)[/tex]

This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to [tex]\frac{3}{4}[/tex].

[tex](y+9)(3/4)\\= y(3/4)+9(3/4)[/tex]

d) [tex](9*3/4)+y[/tex]

This expression is equivalent, as 9 and [tex]\frac{3}{4}[/tex] are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:

[tex](9*3/4)+y\\=y+(9*3/4)\\=y+(9*\frac{3}{4} )\\=y+9*\frac{3}{4}[/tex]

I hope this helps!

[Help Asap, Will Mark Brainliest If Correct!] Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

74cm^2

Step-by-step explanation:

IF ΔABC ~ ΔXYZ, which proportion is not necessarily true?

Options
AB/BC = XY/YZ
AB/XZ = AC/YZ
AC/XZ = BC/YZ
AB/AC = XY/XZ

Answers

I think AC/XZ BC YZ i hope the can help

Find the angle θ between your 2 vectors. Show your work and final answer. Make sure your angle θ is in radians not degrees. Use 5 decimal places in all your calculations. (4 points)

Answers

Answer:

it would be 2 because 0 can not be added

Step-by-step explanation:

A square room in Denise's house measures 15 feet by 15 feet. Find the length of the diagonal of the room, rounded to the nearest tenth

Answers

Answer: 21.2

Step-by-step explanation:

State the measure of an angle whose complement is 23o

Answers

Answer: 67 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. To find the complement of an angle, subtract it from 90. 90-23=67.

Hi! Please help out if you can to explain it! I need so much help on this !

Answers

Step-by-step explanation:

When you translate something, it means to move it exactly as it is from once location to another. In this case, move the object 3 units right, and 3 units up. Each line segment is 1 unit. To translate this object, move each point 3 unit up and 3 units right. After that, connect the points to draw the object.

The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.

When will the obj reach its maximum height ?
What is the max height?
After how many seconds will it hit the ground?

Answers

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20

If the black cloth absorbs heat energy, why was the ice cube at room temperature covered with the black cloth the slowest to melt?

Answers

The cloth acts as insulation it doesn't matter the colour . And as to Black cloth attracting Heat this is only partially true if you put a black cloth in the room with no windows and the temperature of the room was 70° the cloth will not get any hotter black cloth absorbs infrared energy this makes it feel warmer

Use PEMDAS to evaluate the expression 8 + 3 x 6 − 12 ÷ 3.

14
16
19
22

Answers

8 + 18 - 12/3 , 8 + 18 - 4 , 18 + 8 , 26-4 = 22

Answer:

22

Step-by-step explanation:

PEMDAS stands for:

Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction

Simplify according to PEMDAS, from left to right

I will bold the parts that I will simplify for each step

8 + 3 x 6 - 12 ÷ 3 =

8 + 18 - 12 ÷ 3 =

8 + 18 - 4 =

26 - 4 =

22

The expression equals to 22

f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)

Answers

Answer: -6x + 15

Step-by-step explanation:

f (x) = 3

g (x) = -2x + 5

3 (-2x+5)

= -6x +15

will give brainliest hurry

Answers

Answer:

number 4 and 6

Step-by-step explanation:

HELPPP ASAP 10 POINTS

Answers

Answer:

sheesh

Step-by-step explanation:

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°. Find all possible values of ∠O, to the nearest 10th of a degree.

Answers

Answer:

Answer: 39.7  

 and 140.3  

Step-by-step explanation:

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

We have given that,

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°.

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

We have to determine all possible values of ∠O, to the nearest 10th of a degree.

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

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PLEASE HELP I WILL MARK BRAIN AND THIS IS WORTH 26 POINTS!!!

Answers

Answer:

1) Already finished

2)0.28,7/25

3)0.78,39/50

4)0.96,24/25

5)0.5,1/2

6)0.3,30%

7)0.4,40%

8)0.25,25%

9)0.55,55%

10)0.2,20%

11)7/20,35%

12)3/4,75%

13)4/5,80%

14)1/25,4%

15)13/20,65%

Step-by-step explanation:

HELPPPPP MEE ITS DUE TODAY pleasseee​

Answers

Angle 2 is 74, angle 1 is 47 ( since vertical angles are congruent), and angle 3 is 69.

Select all values of x that make the inequality −x+6≥10 true.




-3.9


4


-4.01


-4


4.01


3.9


0


-7

Answers

This is because the 6 is dropping value due to the denomter of so there it is -3.9

what is the quotient of the fractions below? 7/2 divided by 1/3

Answers

21/2 is what you should get if you divide those two

(4.5)x = 26 pls help me with this it is multiplication equations

Answers

Answer:

x=5.7

Step-by-step explanation:

Answer:

x = 5.78

Step-by-step explanation:

(4.5)x = 26

4.5x = 26

x = 26/4.5

x = 5.78

Math is hard, please help this idiot TwT

Answers

here you go i hope this help u

advance tickets for a school play went on sale. the price of each student ticket was $4 and everyone else paid $5. on the first day, no more than $80 in tickets were sold. describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to non student’s.

Answers

Answer:

0student  16non-student,

5student  12non-student,  

10student  8non-student,

15student  4non-student,

20student  0non-student

Step-by-step explanation:

s student tickets, e non student  

4s + 5e = 80

s     e

0     16        4(0) + 5(16) = 80

5     12        4(5)  + 5(12) = 80

10     8        4(10)  + 5(8) = 80

15     4        4(15)  + 5(4) = 80

20    0        4(20) + 5(0) = 80

Umm ... NO FILES/LINKS !!!

Answers

9 and 1/3

You can set up a proportion where
2/9 = ?/42

Cross multiply so 42 x 2 = 84
Then divide so 84/9 = your answer

Answer:

189.

Step-by-step explanation:

I divided 42 by 2 and got 21..

Then, I multiplied 21 by 9 and got 189!

On a map that bus stop is at the coordinates (5,4) and the pond is at the coordinates (8,5) what is the distance from the bus stop to the pond to the nearest unit

Answers

Answer:

Hence the distance is 3.16

Step-by-step explanation:

Given data

The bus stop is at the coordinates (5,4) and

x1=5

y1=4

The pond is at the coordinates (8,5)

x2=8

y2=5

The expression for the distance between two coordinates is

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((8-5)²+(5-4)²)

d=√((3)²+(1)²)

d=√9+1

d=√10

d=3.16

What is the quotient of the fractions below? 3/5 divided by 2/3?

A. 2/5
B. 10/9
C. 9/10
D. 5/2
HUURRYYY!!!

Answers

Answer:

9/10

Step-by-step explanation:

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