Using exponential notation

Using Exponential Notation

Answers

Answer 1

Hello there!

Law of Exponent

[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]

The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.

[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]

Compare the terms.

a = 17m = 1n = 3

Hence,

[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]

The second problem asks us to write 13^{1/2} in radical form. Refer the law above.

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]

Compare the terms.

a = 13m = 1n = 2

Hence,

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]

Conclusion

First answer is 17^{1/3}Second answer is √13

Let me know if you have any questions!

Topic: Exponent / Fractional Exponent and n-th root /


Related Questions

Find all real solutions to w^2-10w+1
In simplest form

Answers

Answer:

you can solve it using quadratic formula

w=5-2 √6 or w=5+ 2√6

Help help help me please

Answers

Answer:

6x - 4

Step-by-step explanation:

Cross out the 3 in the denominator and the 9, which simplifies to 2 times 3x, which is 6x.  For the second part, cross out 3 in the denominator and -6, which becomes 2 times (-2), which is -4.

Which does not represent an integer?


Question 1 options:


−182


45


9–√


0

Answers

Answer:

9 minus a square root is the answer I think...

Step-by-step explanation:

Integers are all positive&negative numbers + 0

Can someone tell me the asnwer to this ASAP?

Answers

Answer:

[tex]2\sqrt{2} \\2[/tex]

Step-by-step explanation:

[tex]\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2*\sqrt{2} = 2\sqrt{2} \\\\\sqrt[3]{8} = \sqrt{2*2*2} = 2[/tex]

Answer:

I noticed that  [tex]\sqrt{8\\}[/tex] does not have 3 on it like the second one. And i wonder that the answers would be different from each other

[tex]2\sqrt{2}[/tex]

2

Plzzzz Help me 50 points!!!!

Answers

When solving the system of equations i got that x should be 1 and y should be 5. The equations intersect at the point (1, 5)

Which one describes the algebraic expression for the phrase, "four times the quantity of a number increased by 8 is
equal to 10 more than the number"?
O 4n + 8 = n - 10
O 4(n + 8) = n + 10
O 8n + 4 = 10n
O 8(n + 10) = n + 10

Answers

Answer:

4(n + 8) = n + 10

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

15 - (-8) answer if you could please and thank you

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

23

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\15-(-8)\\-----------\\\rightarrow 15-1(-8)\\\\\rightarrow 15 + 8 \\\\\rightarrow \boxed{23}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

1. Give another name for liner r.

2. Name the intersection of lines r and s.

3. Name three collinear points.

4. Give another name for plane N.

Answers

Answer:

3

Step-by-step explanation:

( x+y+z )² + 2( x+y+z ) +1

Answers

Answer:

[tex](x+y+z+1 {)}^{2} [/tex]

Step-by-step explanation:

[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]

[tex](x+y+z+1 {)}^{2} [/tex]

Hope it is helpful....

Here is your answer hope this helps you.

What form of deductive reasoning is used in the given argument?

If it’s raining outside, I’ll wear my raincoat.
I am not wearing my raincoat.
It is not raining outside.

A.
law of detachment
B.
law of syllogism
C.
law of contrapositive
D.
identification of counterexample

Answers

Answer:

C.

law of contrapositive

Answer:

law of contrapositive

Step-by-step explanation:

10-3•2/1+1 what is the answer???

Answers

14/2 = 7
The answer can be either depending on it you have to reduce

Answer:

5

Step-by-step explanation:

PEMDAS ( or for whatever one you do... )

You read it from left to right. So, whatever comes first you do then you continue.

Multiplication came BEFORE division in this case.

3 x 2 = 6

Then Division.

You had gotten 6 FROM 3 x 2. Divide that TOTAL with 1.

6/1 = 6

[ Then subtraction is infront of addition. It may seem confusing but regardless how the letters are formatted in "PEMDAS" you ALWAYS read from left to right. "PEMDAS" has Addition infront of Subtraction but in this case, subtraction goes first because it's infront of the addition. ]

Then you subtract.

You had gotten 6 FROM 3x2/1

Subtract that TOTAL with 10. 10 - 6

What is 10 - 6? 4 because 10 is LARGER than 6

Then you add.

You got the TOTAL of 4 FROM 10-3x2/1.

Add that TOTAL with 1.

4 + 1 = 5.

The answer should be 5 but correct me If I'm wrong.

Here a graph I made, any numbers that have LCF or a GCF of 140 let me know

Answers

2 & 70
4 & 35
5 & 28
7 & 20
(That’s all)

Which numbers can go into 216 with no remainder? Select all that apply. 6 5 9 7​

Answers

Answer:

They are 6 and 9

Step-by-step explanation:

Answer:

Among the given numbers, 6 and 9 will go to 216 without leaving any remainder.

Hope it helps you

by Find the value of 5% of 300​

Answers

Answer:

15

Step-by-step explanation:

5/100*300

100 can be cut for 100 and 300

so 5/1*3

ans 15

Answer:

Percentage Calculator: What is 5 percent of 300? = 15.

Hope it helps you.

Emily received a check from her grandmother for $40.00 for her birthday. To cash the check, her bank requires her to deposit the funds into her account. Since she wanted to spend the money that afternoon, she withdrew $40.00 in the same transaction. Jacoby went on a hiking trip on the Rocky Bend Loop. Starting at an elevation of 1,200 feet, he hiked up the eastern trail leading to a change in elevation of 782 feet to get to the campsite. The next day he hiked down the western trail which had a change in elevation of 782 feet to get back to his car. During the top of the fourth inning of a baseball game, the Ravens scored three runs. During the bottom of the fourth inning, the Raiders scored five runs to tie the game. Marcus runs a sightseeing service in the Appalachian Mountains. The first leg of the tour is a 16.2-mile horseback ride from the stables up the side of a mountain. The second leg of the tour is a 20.6-mile four-wheeler ride taking a different path down the mountain to the customer parking lot. A carbon 12 atom has six neutrons, six protons, and six electrons. The neutrons have no charge, each proton has a positive charge, and each electron has a negative charge of the same magnitude. To start the second half of the basketball game, the Eagles made a jump shot for two points. The Bulldogs then took the ball down the court on a fast break and made a layup for two points.

Answers

Answer:

pretty sure ypu arent suppose to send your entire math homework like this

Identify as a monomial, binomial, or trinomial. x^3Y^2Z

Answers

Answer: Monomial

Step-by-step explanation:

2ax/3y is a monomial in three variables a, x and y.

PJ, A term is defined as a number, variable, or some combination of numbers and/or variables being multiplied together. Even though 2x has two parts (2 and x), since they are being multiplied together, 2x is considered a single term (a monomial expression).Mar 18, 2014

Answer:

monomial

Step-by-step explanation:

because it has only 1 term

See your levels
A rectangular vegetable patch is 7 meters long and 5 meters wide. What is its area?

Answers

7*5=35 its simple though

Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

Answers

Answer:

k=-5

Step-by-step explanation:

For the points to be collinear any two pair must have the same slope

We find the slope of the 2nd and 3rd points

=1-2/-1--3

=-1/2

Now finding the slope of the 1st and any other point say point 3

1-3/-1-k=-½

-2/-1-k=-½

-4=-1(-1-k)

-4=1+k

k=-4-1

k=-5

PROOF

if the first point is (-5,3)

slope of point 1 and 2

=2-3/-3--5

=-1/2

Kareem runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?

Answers

He would take 63minutes to run 6 miles

Answer:

TIME TAKEN =63minutes or 1 h 3 min.

Please help work is due in a couple of minutes

Answers

Step-by-step explanation:

3m is the answer.

hope it helps

Answer:

3 meters

Step-by-step explanation:

The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).

In hours 3 3/8, John reads 4 1/2 chapters.
What is the unit rate in chapters per hour?
Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

1 1/3 chapters per hour

Step-by-step explanation:

eplaination is in the picture

The complete factorization of 12x² + 4x - 8 is:
(A) (3x + 1)(4x – 8)
(B) (4x + 4)(3x + 2)
(C) 4(3x² + x - 2)
(D) 4(3x − 2)(x + 1)
(E) 4(3x + 2)(x - 1)

Answers

Answer:

D is the correct answer.

Solve the equation cos7θ = sin5θ where 0<θ<90°​

Answers

Answer:

You can get approximate values by drawing a graph,

Step-by-step explanation:

Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.​

Answers

answer:

h3

Step-by-step explanation:

H raise to power 3

pleeeeeeeeeeaaaaaassssseeee help​

Answers

Answer:

with wut

Step-by-step explanation:

Second to last questions Pls help Thx!. :)

Answers

Answer: this is realy unclear but ill try my best man 1st,bot C . 2nd,bot A . 3rd,bot D, last or 4th, bot c

Step-by-step explanation:

the highest number is 38 clicks in 4.5 seconds so ill try to multiply or do more math to get the answer 0.5 x 9 adds up to 4.5 so ill do 4 x 9 is 36

2x2.25 gets you 4.5 seconds so 2.25 x 15 = 33.75 and bot b i dont even wanna do that math so 1st goes to bot c 2nd goes to bot A 3rd goes to bot d and last goes to bot b

Graham sold 6 magazines less than double what Adrianne sold, which of the following expressions represents graham’s sales? ( 9th grade, Algebra 1 )

Answers

Answer:

The expression that represents Graham's sales is: 2a - 6

c) A bus completes its journey in 14 hours with an average speed of 40 km per hour. How long does the bus take to complete the journey if its average speed is increased to 56 km per hour?​

Answers

Answer:  10 hours

Explanation:

Compute the distance for the original speed and time

distance = rate*time

distance = (40 kph)*(14 hrs)

distance = 560 km

If we increase the rate or speed to 56 kph, then,

distance = rate*time

560 km = (56 kph)*x

560 = 56x

56x = 560

x = 560/56

x = 10

The bus will travel for 10 hours if its speed is increased to 56 km per hour.

Answer:

A bus takes 4.5 hours to complete a complete a journey at a speed of 40km/hr

So, in this case, We will find the distance first because the distance is constant.

distance-speed*time

distance=40*4.5

distance=180km

distance=180km

Now, we find the time to cover the distance at the speed of 45km/hr

time distance/speed

time=180/45

time=4hrs

Therefore, the answer is 4hrs

Hope it helps you.Have a nice day!!

7) In an old episode of the TV program McGyver, a planeload of gold was being transported from the SovietUnion to the United States during WWU. The place crashed in the Arctic region. To prevent the "badguys" from getting the gold, the pilot and copilot transferred the gold into a cave by stacking it on a door
of the crashed plane and dragging the "sled" into the cave. You were led to believe in the episode that
they accomplished the move in one trip. The gold was stacked neatly in the shape of a cube, measuring
about 1 meter on a side. Calculate the weight, in tons, of one cubic meter of gold. The density of gold is
19.4 g/cc. Would it have been possible for the two pilots to accomplish this feat? Would a plane of WWII
vintage be able to carry this much gold? (cc = cubic centimeter, 1cm = 1mL)

Answers

Here we need to remember that:

density = mass/volume

Only by using this equation, we will find that the mass of gold is 19,400 kg

In this case, we know that the gold is in the shape of a cube with side length of one meter.

Remember that for a cube of side length L, the volume is:

V = L^3

Then in this case, the volume of the cube of gold will be:

V = (1m)^3  = 1m^3

And we know that the density of the gold is:

density = 19.4 g/cc

cc = cm^3

density = 19.4 g/cm^3

Notice that we have different units of volume, so we would want to write the volume in cm^3

We know that:

1m^3 = (1×10^6)cm^3

Then the volume of the cube of gold is just:

V = (1×10^6)cm^3 = 1,000,000 cm^3

Now let's return to the density equation:

density = mass/volume

Solving for the mass, we get:

density×volume = mass

Now we can replace the two things in the left side:

(19.4 g/cm^3)×(1,000,000 cm^3) = mass = 19,400,000 g

Now remember that:

1000k = 1kg

Then we can rewrite:

mass = 19,400,000 g = (19,400,000/1000)kg = 19,400 kg

So the cube of gold has a mass of  19,400 kg, there is no way that two persons could carry this much gold into a cave.

if you want to learn more, you can read:

https://brainly.com/question/18320053

The track team needs new uniforms. the students plan to sell candies. the students find three companies for 44.80. company c charges

Answers

Answer:  Answer:

Company C

Step-by-step explanation:

Company A sells 12 tigers for $33.24.

Cost per tiger = $33.34 / 12

= $2.78

Company B sells 16 tigers for $44.80. Company

Cost per tiger = $44.80 / 16

= $2.8

C charges $41.10 for 15 tigers.

Cost per tiger = $41.10 / 15

= $2.74

The company that has the best buy is company C that charges $2.74 per tiger

Brainliest please

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