Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.

Answers

Answer 1

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)


Related Questions

Simplify (Remember to simplify means to write an equivalent expression that uses each variable on')
not have zero or negative exponents.

Answers

Answer:

A) [tex]x^{3} y^{4}[/tex]

B) [tex]-\frac{5x^{2} }{y}[/tex]

C) [tex]9m^{4}n^{4}[/tex]

D)[tex]\frac{1}{x^{3} }[/tex]

Step-by-step explanation:

Hope this helps.

PLEASE HELP. WILL GIVE A BRAINLY. What is the range of the function?

Answers

Answer:

c is the correct option.

Step-by-step explanation:

The graph curves at y = -2 and above thus for the range of the graph is c.

HELP ME PLEASE!
State the domain and range of the relation. (2 points) Then, determine if the relation is a function and state the reason why or why not. (2 points)
y= 2x - 3

Answers

Domain is (-♾, ♾)
Range is (-♾, ♾)

Nick has $50. He just got a job as a construction worker making $10 an hour. He wants to earn enough money to buy himself a new cell phone, valued at $900. If x represents the number of hour he works, write an inequality to represent this situation. What is the minimum number of hours must he work to buy the phone?

Answers

Answer:

900[tex]\geq[/tex]50+10x; At least 85 hours

Step-by-step explanation:

Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.

50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.

To solve, subtract 50 from each side.

850[tex]\geq[/tex]10x

Divide by 10 to solve for x:

85[tex]\geq[/tex]x

Nick must work at least 85 hours.

6.) Danasia has two summer jobs. During the week she works in the grocery store and on the
weekend she works at a nursery. She gets paid $15 per hour to work at the grocery store and
$18 per hour to work at the nursery. The one week she made $630. Write an equation to
model the situation.

Answers

Answer: 630 = 15x + 18y

Step-by-step explanation:

Find the measures of the interior angles.

Answers

The three inside angles of a triangle when added together need to equal 180 degrees.

To find x subtract the other two angles from 180:

X = 180 - 65 - 40

X = 75

What is the value of x

Answers

Answer:

9

Step-by-step explanation:don't use this awnser its wrong

Is the list of numbers an arithmetic sequence?
22,25,27,30,33,…

Answers

Answer:

No

Step-by-step explanation:

The jump from each of the numbers is 3 but from 25 to 27 is 2 therefore it is not an arithmetic  sequence.

anong meaning nang pangnakaraan, pangkasalukuyan panghinaharap​

Answers

« pangnakaraan »

mga oras na nangyari na o mga bagay na natapos na

« pangkasalukuyan »

mga bagay na nangyayari

« panghinaharap »

mga oras na mangyayari palamang

hope it helps

Please help!!!!!

answer options

a) slope of Function B =2 x slope of Function A

b) slope of Function A = slope of Function B

c) slope of Function A =2 x slope of Function B

d) slope of Function B = - slope of Function A

Answers

The answer to the question is a

hi can you please help me
i cant answer this question.​

Answers

Answer:

take a actual picture maby

Work out 1.6 X 10⁴ + 0.8 X 10⁴.

math work

Answers

Answer:

2.4× 10^4

Step-by-step explanation:

you just sum 1.6 with 0.8

[tex]2.4 \times {10}^{4} [/tex]

The values for three different sets of data are shown below.

Data
Data Set
Values
1
52, 55, 59, 53, 50
2
40, 49, 43, 42, 90, 38
3
24, 30, 26, 31, 40, 26

Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Sets 2 and 3 have an even number of values.
Set 1 has the least number of values.
Sets 2 and 3 contain outliers.
Set 1 contains an outlier.

Answers

Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

Answer:

It is c

Step-by-step explanation:

Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches. How much flour does Nate need to make his cookies? 5 7/12 cups 6 1/12cups 6 7/12 7 1/2cups​

Answers

Answer:

correct the answer is 7[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

Given that,
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches, how much flour does Nate need to make his cookies is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Amount of floor for each batch of cookie = 2 1/4
Total floor required to bake 3 1/3 batches = 9 / 4 × 10 / 3 = 7 1 / 2

Thus, the required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ5

how to use solution of an inequality in the real world?​

Answers

They seek to describe the way nature flows. Many of the simpler equations also describe financial concepts, like exponential growth. Exponential growth can describe the cultivation of microorganisms as well.

Addition and substraction is used in shopping.

Much of mathematics are also used in programming in order to make smart software.

You basically used equations everyday without even notice. Like when you have to calculate “How many dollars does the sum of your grocery stuffs equal to?”. Or a more complicated situation, if you need to be in the meeting at 9:30am, the travel distance is 10km and you can only leave after 8:30am, your driving speed should equal “x” km/h.”

Inequalities are used for comparison. “He is taller than me.” or “The iPhone with larger memory capacity is more expensive.”. A more complicated example is also with calculating your driving speed. “Now if there is expected traffic jam for 2km. You get out of the traffic jam at 9:00am, you have to drive faster than

“x” km/h to compensate for your loss time.”

Just some simple examples. There are a lots more out there, just look around.

Answer:

by using injustices or by subtracting

6) Candace Parker bought some new furniture for her house. Tax was included in the price
of the furniture. She bought a chair for 213 dollars, a couch for $812.50, and a television
for $499.99. If she left a 15% tip on the final price of all the furniture how much would
she have paid in total for the furniture and the tip?
ning Carmelo Anthony

Answers

Answer:

$1,754,31

Step-by-step explanation:

Furniture = $213 + $812.50 + $499.99 = $1,525.49

15% * $1,525.49 = $228.82

Total = $1,525.49 + $228.82 = $1,754,31

Candace should have gone to Wayfair

This week a pack of tomato plants cost $25 next week the plants on sale for 15% off Larissa wants to know the price of the tomato plants if she buys them next week

Answers

Step-by-step explanation:

15%25$

[tex] \frac{15}{100} \times 25[/tex]

[tex] \frac{375}{100} [/tex]

=3.75

25-3.75=21.25$

A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm

Answers

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

The human hair is 40,000 nanometers wide.

Option D is the correct answer.

Given,

A human hair is approximately 40 microns (um) wide.

1 um is equal to [tex]10^{-6}[/tex] meters (m)

1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.

We need to find how many nanometers wide is human hair.

How do we add exponents?

We can add the exponents if we have the same base.

Example:

a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]

[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]

We have,

Human hair = 40 microns (um) wide.

And,

1 um = [tex]10^{-6}[/tex] m

1 nm = [tex]10^{-9}[/tex] m

[tex]10^{-9}[/tex] m = 1 nm

Multiplying by 10³ on both sides.

[tex]10^{-9}[/tex] x 10³ = 10³ nm

[tex]10^{(-9+3)}[/tex] = 10³ nm

[tex]10^{-6}[/tex] m = 10³ nm

1 um = [tex]10^{-6}[/tex]m

1 um = 10³ nm

Human hair = 40 um

1 um = 10³ nm

Multiplying 40 on both sides.

40 x 1 um = 40 x 10³ nm

40 um = 40 x 1000 nm

40 um = 40,000 nm

Thus human hair is 40,000 nanometers wide.

Learn more about the conversion of microns to nanometers here:

https://brainly.com/question/14663277

#SPJ2

Find the measure of the angles(S)

Please help

Answers

Answer:

10°

Step-by-step explanation:

the sum of interior angles of triangle is 180°

so. 8x+x+90°=180°

9x=90°

x=10°

if x is the exterior angle and 70 and 50 are its opposite interior angle of a triangle find x please help me ​

Answers

Answer:

x = 120

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

x = 70 + 50 = 120

Answer:

X=120

Step-by-step explanation:

exterior angle of triangle is equal to its two opposite interior angles .

hence, X= 70 + 50

= 120

find the missing side lengths. leave your answers as radicals in simplest form.
x=?
y=?​

Answers

Answer:

y = 2

x = 4

Step-by-step explanation:

The given is a special right triangle, the measure of its interior angles is as follows:

90-60-30 and side lengths would be:

2a - a[tex]\sqrt{3}[/tex] - a

as shown in image the side length that sees angle measure 60 is 2[tex]\sqrt{3}[/tex]

so the number represented by a is = 2 therefore y = 2 and x = 4

What’s the domain and range of f(x) = 72 - 1/6x?

Answers

Answer:

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

I need help with this question. 20 points ton the person who can answer the question and make it make sense.
Why do we want the two measured angles to be equal. Why is this important?

Answers

Answer:

Because if they werent the messerue ments would be screwed and u would not be able to answer some questions

Step-by-step explanation:

also it makes a right triangle if equal

One of Kylie's homework problems is to convert 30 centimeters to feet, given that 2.54 centimeters = 1 inch. Here is her
work:
30 centimeters
2.54 centimeters 12 inches
= 30 x 254x12=914 4 feet
1 inch 1 foot
Which of the following statements is true?
Kylie's conversion is correct
Kylie's conversion is incorrect because she set up the conversion ratios incorrectly.
Kylie's conversion is incorrect because she multiplied incorrectly
Kylie's conversion is incorrect because her conversion ratios are not equivalent to 1.

Answers

Answer:

She set up the conversion ratios incorrectly.

Step-by-step explanation:

30 cms

= 30 / 2.54 inches

= 30 / 2.54  / 12feet

= 0.984 feet.

I am a 4 digit number.My hundred's digit is 4 less than my thousands digit.My unit's digit is 7 less than my ten's digit.My ten's digit is 3 more than my hundred's digit.My thousand's digit is the largest single digit number.what number am i?​

Answers

Answer:

9581

Step-by-step explanation:

please help me i dont know what i am doing

Answers

Answer:

answer is 1.2590

Step-by-step explanation:

i hope its help you

Which is an expression that represents the horizontal side length of the triangle? Give the points(x,y) and (5,7) Lie on the line

Answers

Answer:

x - 5

Step-by-step explanation:

The x-coordinate of the left endpoint is 5.

The x-coordinate of the right endpoint is x.

length = x - 5

The pictures is where my question is someone please answer it.

Answers

Answer:

functions: first one, third one, fifth one, seventh one, eigth one

the rest are not function

Step-by-step explanation:

if it is a function it either passes the line test or it doesnt have two outputs

A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to greatest?​

Answers

Answer:

9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least

2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest

Step-by-step explanation:

Consider U = { 5,10, 15, 20, 25, 30, 35, 40} , A = { 20, 30, 40 } . Find A’

Answers

Answer:

A {5, 10, 15, 20}

Step-by-step explanation:

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