Simplify (2^9• 3^5) • (2^4•3)^2

Answers

Answer 1

Answer:

[tex]286654464[/tex]

Step-by-step explanation:

first, write the equation:

[tex](2^{9}*3^{5} )*(2^{4} *3)^{2}[/tex]

solve in the parentheses from left to right:

[tex](2^{9} *3^{5} )[/tex]

solve for [tex]2^{9}[/tex]:

[tex]2*2*2*2*2*2*2*2*2=512[/tex]

then solve for [tex]3^{5}[/tex]:

[tex]3*3*3*3*3=243[/tex]

So the equation will be as:

[tex](512*243)*(2^{4} *3)^{2}[/tex]

simplify:

[tex]124416*(2^{4} *3)^{2}[/tex]

solve for [tex](2^{4} *3)^{2}[/tex]:

[tex]2*2*2*2=16\\(16*3)=48[/tex]

complete equation:

[tex]124416*(48)^{2}[/tex]

the answer will be:

[tex]124416*(48)^{2} =\\124416*48*48=\\286654464[/tex]


Related Questions

a cuboid's length is 9 cm, its height is 4 cm and its breadth is 6 cm. calculate the surface area.

any help is appreciated!!! :)​

Answers

Based on the given conditions, formulate:
2 × (6 × 4 + 6 × 9 + 4 × 9)

Calculate the product or quotient:
2 × (24 + 6 × 9 + 4 × 9)
2 × (24 + 54 + 4 × 9)
2 × (24 + 54 + 36)

Calculate the sum of difference:
2 × (78 + 36)
2 × 114

Calculate the product or quotient:
228

ANSWER:⇒ 228

Alternative:⇒ 2.28 × 10²

What is the slope of the line with the equation y=1/4x-7

Answers

Answer:

slope is 1/4

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The other person was right the answer is 1/4 but you don’t have to do all that work the answer is simple the slop is always y=slope so it will always be that middle number

Properties of rectangles rhombuses and squares worksheet answers.

Answers

Answer:

sorry i cant find anything for u

Step-by-step explanation:

Solve each system of equations using the elimination method

10x-6y=54
-4x+3y=-24

Answers

Answer:

x = 3; y = -4

Step-by-step explanation:

2(10x - 6y = 54) = ( 20x - 12y = 108)

4(-4x + 3y = -24) = ( -16x + 12y = -96)

                                   4x = 12

                                     x = 3

-4(3) + 3y = -24

-12 + 3y = -24

+12           +12

3y = -12

y = -4

PLZ HELP QUICKLY! ILL GIVE BRAINLIEST.

Which transformation below causes Figure A to transform into Figure A?

A. a reflection across the y-axis

B. a reflection across the x-axis

C. a clockwise rotation of 90 degrees about the origin

D. a translation 12 units right and 2 units down

Answers

Answer:

D

Step-by-step explanation:

Start from one point on figure A (-6, -3) for example. Count 12 to the right and two units down and you will find (6, -5) on the A'.

The segments shown below could form a triangle.
д
с
B
8
9
LO
B
17
с
д
A. True
O B. False

Answers

Answer:

False

Step-by-step explanation:

plz mark me the brainiest

The segments AC, CB, and AB can form a triangle, and the statement is true.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that AC=9 cm, CB= 8cm and AB=15cm

The segments AC, CB, and AB satisfy the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

AC + CB = 9cm + 8cm = 17cm, which is greater than AB = 15cm.

Similarly, AC + AB = 9cm + 15cm = 24cm, which is greater than CB = 8cm. CB + AB = 8cm + 15cm = 23cm, which is also greater than AC = 9cm.

Therefore, the segments AC, CB, and AB can form a triangle, and the statement is true.

To learn more on Triangles click:

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Work out this question pls

Answers

Answer:

3 3/16

Step-by-step explanation:

Conversion a mixed number 8 1/2

to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/

16

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.

51/16

3 3/16

How much money needs to be deposited now into an account to obtain $1,500 in 7 years if the interest rate is 5% per year compounded continuously?

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &7 \end{cases} \\\\\\ 1500=Pe^{0.05\cdot 7}\implies \cfrac{1500}{e^{0.35}}=P\implies 1057.03\approx P[/tex]

I need help what’s 5.57 multipled by 4

Answers

Answer:

22.28

Step-by-step explanation:

5.57 x 4 = 22.28





Explanation:

Find an ordered pair (x,y) that is a solution to the equation
5x-y=6

Answers

Answer:

Slope:

5

y-intercept :

( 0, -6)

Step-by-step explanation:

i dont know how to explain it

what does 739474×92937474748​

Answers

6.8724846e+16 I’m not sure tho

Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?

Answers

Answer: Andy covers all the walls of his kitchen using 6 rolls of a wallpaper.

To Find:

Number of rolls used per wall.

Solution:

Since, we know that the shape of a kitchen is a cuboid.

And a cuboid has total 6 faces, with 4 walls, one roof and one floor.

So, total number of walls in Andy's kitchen = 4

Now, it is given that he uses 6 rolls of wallpaper to cover 4 walls completely.

In order to find the number of rolls used per wall, we'll have to divide the total number of rolls used with the total number of walls.

Number of rolls used per wall =

                                                 So, 1.5 rolls are used to cover one wall.

Step-by-step explanation:

Answer:

the mean of three numbers is 10 and the mean of four other numbers is 16.what is the mean of all seven numbers

Step-by-step explanation:

g

Miss Curtis picked 18 apples she bake 2/3 of them into a pie the apples are represented below how many apples did she bake into the pie

Answers

Answer:

12 apples

Step-by-step explanation:

apples basked into a pie = 2/3 * 18 = 12

9.17% round to the nearest degree

Answers

Answer:

9%

Step-by-step explanation:

9.17% = 9% (to the nearest percent)

Answer:

9%

Step-by-step explanation:

9.17% to the nearest degree which in this case is percent, since .17 is above .50 or is .50 it has to be rounded down, and the nearest percent 9s 9%.

write an equation for a line perpendicular to y = 5x - 4 and passing through the point (15,-1)

Answers

Answer:

y = -1/5 x + 2

Step-by-step explanation:

y = 5x - 4

m = 5

Slope of perpendicular = -1/5

Equation of perpendicular:

y = mx + b

y = -1/5 x + b

Use point (15, -1) for x and y, and solve for b.

-1 = -1/5(15) + b

-1 = -3 + b

b = 2

Equation of perpendicular:

y = -1/5 x + 2

Question 7
The perimeter of the rectangle Is 34 inches. The perimeter of the triangle is
40 Inches.

Answers

Answer:

whts the question 86

Step-by-step explanation:

i dk

I need the answer and work show!! ASAP!!!! PLEASE

Answers

Answer:

Refer to the attachment

The value of angle is 40 degrees

The value of angle P is 140 degrees

Properties of a ParallelogramThe opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equalThe sum of angle in a parallelogram is 360 degree

Therefore,

∠S = x + 15

∠p = 6x - 10

2(x + 15) + 2(6x - 10)  = 360

2x + 30 + 12x - 20 = 360

14x + 10 = 360

14x = 350

x = 350 / 14

x = 25 degrees

∠S = x + 15 = 25 + 15 = 40 degrees

∠p = 6x - 10 = 6(25) - 10 = 150 - 10 = 140 degrees

learn more on parallelogram here: https://brainly.com/question/1563728

I need help please, anyone?!!

Answers

Answer:

I believe the answer is 255 miles.

7.34 as a mixed number

Answers

Answer:

Answer: 7  17/50

Step-by-step explanation:

Write down the number as a fraction of one

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(734,100) = 2. when reduced to the simplest form.

A field that is 2/3 acres must be planted with seed. If 12 people will split the job equally, how many acres must each person plant?

Answers

2/3 = 8/12*1/12 = 8/144 = 4/72= 2/36= 1/18 for one person if there is 12

Hope this helps please like and brainiest

A car accelerates from rest down in highway at 16 m/s for 10 seconds. What distance did the car travel during acceleration.

Answers

Answer:

160

Step-by-step explanation:

16 * 10

= 160

Answer:160 meters

Step-by-step explanation: to work out the distance you have to times the speed by the time to get the distance.

Find the value of log 1 2 462 to four decimal places.

Answers

The value of logarithm function log₀.₅ 462 around the four decimal places is -8.8517.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The expression is [tex]\rm log _{\frac{1}{2}} 462[/tex].

We know the formula of a logarithm.

[tex]\rm log_ab = \dfrac{log\ b}{log\ a}[/tex]

Then we have

[tex]\rm log _{\frac{1}{2}} 462 = \dfrac{log\ 462}{log\ \frac{1}{2}}\\\\\\log _{\frac{1}{2}} 462 = \DFRAC{2.66464}{-0.3010299}\\\\log _{\frac{1}{2}} 462 = -8.852[/tex]

Thus, the value of [tex]\rm log _{\frac{1}{2}} 462[/tex] is -8.8517.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:-8.8517

Step-by-step explanation:

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.

Given: XN = NZ and NY = NW

Answers

Answer:

Because N is the midpoint of the two diagonals so the quadrilateral must be a parallelogram

Answer:

Step-by-step explanation:

XN = NZ  & NY = NW

This shows that diagonals XZ & WY bisect each other.

So, this quadrilateral is a  parallelogram.

Select the expression that is equivalent to:


4(9 + v)


36 + v


36 + 4v


4(9v)


36v


4v + 9

Answers

Answer: 36 + 4v

Step-by-step explanation:

4*9 = 36, 4*v = v

multiplying polynomial (x^2-6x-4)(x+4)

Answers

Answer:

x^3-2x^2-28x-16 is the answer

A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$160​, what would the typical tip​ be?

Answers

Answer:

15 percent of 160 is 24, so $24

Some information about the waiting time of patients at an A and E department is shown

Complete the box plot to show this information
I have 2 out of 3 marks
Pls tell me what to do to get full marks

Answers

like this

you need to move the line at 2 hrs 15 to 5 hrs 15 and then adjust all your lines that connect them

what is 21 and 1/4 percent as a fraction?

Answers

Answer:

85/4

Step-by-step explanation:

21 1/4 = 85/4

. What are the coordinates of the point (-1,0) after a translation 5 units to the right?

Answers

The answer is (4,0).

Moving a coodrindate to the right 5 units means to add 5 to the x coordinate

(-1+5,0) = (4,0)

The coordinates of the point (-1,0) after a translation 5 units to the right?

To get the coordinates of the point 1,0 after a translation 5 units to the right

The point's x-coordinate will rise by 5 units after being moved 5 units to the right, while the y-coordinate stays the same.

The starting point was at (-1, 0).

Increasing the x-coordinate by 5 units:

x-coordinate changed: -1 + 5 = 4.

Therefore, after being moved 5 units to the right, the point's new coordinates are (4, 0).

Learn more about coordinates of the point here

https://brainly.com/question/17206319

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find all values of x for which the perimeter is at most 32​

Answers

Answer:

0 < x ≤ 11

Step-by-step explanation:

perimeter = (x - 6) + (x - 6) + x + x

⇒ perimeter = 4x - 12

If the perimeter is "at most 32" then

4x - 12 ≤ 32

⇒ 4x ≤ 44

⇒ x ≤ 11

Therefore,  0 < x ≤ 11

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