Rewrite the expression ^3 square root of x^8 using rational exponents.

Answers

Answer 1

Answer:

X^8/3

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.


Related Questions

I NEED HELP ASAP!!!!!

Answers

1= polynomial
2= not polynomial
3= polynomial
4= polynomial
5= not polynomial
6= polynomial

A farmer has 160 ft. of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fencing along the river.

a) What are the dimensions of the field that has the largest area?

b) What is the maximum area?

Answers

Answer:

L and B be the dimensions of field.

L+2B =2400ft.

AreaA = L×B=L×(2400-L)/2=1200L-L^2

For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft

B=(2400-600)/2=900ft.

Total area = 540000ft^2.

Maybe?

Step-by-step explanation:

Quora

Find the surface area of the triangular prism.

A triangular prism. The base has sides of 17 meters, 17 meters, and 16 meters. The height of the prism is 10 meters. Apothem goes from the base vertex to the midpoint of the base edge, 16 meters, and measures 15 meters.

The surface area is
square meters.

Answers

980 square meters is the total

Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 < AB < 81
AB = 85
AB < 27 or AB > 81

Answers

Answer:

B. 27<AB<81 seems like the best option. AB got to be bigger than 27.

Step-by-step explanation:

Based on the diagram, possible lengths of side AB are 27 < AB < 81.

What is Triangle?

Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.

The sum of all the angles inside the triangle is equal to 180 degrees.

We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.

So the length of side AB is always less than AC + BC.

AB < AC + BC

AB < 27 + 54

AB < 81

Now from the diagram it is clear that AC is less than AB.

AC < AB

27 < AB

Combining these inequalities, we get 27 < AB < 81.

Hence all the possible lengths of side AB is 27 < AB < 81.

To learn more about Triangles, click on the link :

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Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
A. -1/3
B. 3
C. 5
D. 6
E. -9

Answers

the answer is the third choice 5

The x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

Here, we have,

given that,

Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3,

Midpoint of a line

The formula for calculating the midpoint of a line divided in the ratio m:n is expressed as:

M(x,y) =  (mx₂ + nx₁) / (m + n) , (my₂ + ny₁) / (m + n)

For the x-coordinate

X = (nx₁+mx₂/m+n)

let, the x-coordinate of Q = a

Substitute the given parameters

-1 = 3(-3) + 1(a) / 1+3

or, -1 = -9 + a/4

or, -4 = -9 + a

or, a = 5

Hence the x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

Learn more on coordinate here:

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18. Simplify the expression.
(5)10 - (5)13

Answers

Answer:

Answer:

-15 is the answer

Step-by-step explanation:

According to the BODMAS (bracket of Division Multiplication Addition Subtraction) rule

=5*10-5*13

=50-65

=-15

The answer would be 15

Mr. Andade had supply bag with three mechanical pencils, four blue pens, and five black pens. If he selects a writing utensil without looking, what is the probability he will select a mechanical pencil?

Answers

Answer:

1/6

Step-by-step explanation:

The sum of all writing utensils are 3+4+5 = 12,

Therefore the probability he will select a mechanical pencil is 3/12 or 1/4.

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.

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.

.

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For additional info,

Probability of selecting a blue pen and black pen respectively is 4/12 or 1/3 and 5/12.

The graph of a function g is shown below.
Find g(1) and find one value of x for which g(x)=-1.

1) g (1) = ?

2) one value of x for which g (x) = -1 ?

Answers

Answer:

this is wrong

is the answer

if you like my answer please like comment and mark me as brilliant

ans this question pleasepleasee i need it now 11:19 am​

Answers

Step-by-step explanation:

Just times all the number for every question like the first one, 4×4×4=64(units)

=64ft

Same for the rest

7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;

Answers

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

[tex]V[/tex] = volume[tex]l[/tex] = length of base[tex]w[/tex] = width of base[tex]h[/tex] = height

Given:

[tex]V[/tex] = 0.1875 ft³[tex]w[/tex] = 0.75 ft[tex]h[/tex] = 1.5 ft

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft

You buy x bags of chips for $.75 per bag. How much do you spend on chips.

Answers

Answer:

Step-by-step explanation:

Equation

Cost = 0.75 * x

The answer is Cost = 0.75 * x

Keisha is jogging from her house to school. Her school is 4 1/2 miles from her house. She has gone 3/8 miles so far. How many miles does Keisha still have to jog?

Answers

Answer:
4.125 miles still to jog

Explanation:
Check out the work I’ve attach

Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

please hurry im crying

Answers

Answer:

Step-by-step explanation:

it shows that the line is the same becuase it is perfectly lined up :)

Scott has 2 six-sided dice. What is the probability that the sum of the roll is one?

Answers

Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.

Please help me find the area for this hexagon (please show work to) ,:)

Answers

Check the picture below.

so the area of the hexagon is really just the area of two isosceles trapezoids.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}[/tex]

valerie drives 500 meteres up a hill that makes an angle of 15 degrees with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

Answers

Answer:

Answer:

The horizontal distance she has covered is:

x = 483.0m

Step-by-step explanation:

For further info look at this : https://brainly.com/question/9437065

i need the answer pls help pls

Answers

Answer:

B

Step-by-step explanation:

x² - 8x + 97 = 0

the general form to solve such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -8

c = 97

so, we get

x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =

= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =

= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i


Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9

Answers

Answer:

x= -4, y=-3

Step-by-step explanation:

solving the two equations simultaneously you'll get x to be-4 and y to be -3

x+ 5y= -19

3x-y=-9

multiplying the second equation by5

15x-5y=-45

adding eqn 1 and eqn 3

16x= -64

x= -4

substituting into eqn 2

3(-4)-y= -9

-y= -9+12

-y= 3

y=-3

I hope I can help you:)

Find the area of the figure.

Answers

answer:

4.5m²

explanation:

1. find area of the circle

A(circle)=πr²

A=π(2.3²)

A=16.62m²

2. find area of the square

the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.

A(square)=s²

A=4.6²

A=21.16m²

3. subtract the two areas

to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.

A(shaded)=21.16-16.62

A=4.54097487m²

(be sure to round as necessary)

--

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$117 per week is proportional to $234 per 2 weeks.
The proportion is____?

Answers

Writing Proportions

A proportion is a comparison between two ratios.

A ratio is a proportion between two numbers.

To write a proportion, create two comparisons with two numbers and set them equal to each other.

Solving the Question

We're given:

$117 per week$234 per 2 weeksThese ratios are proportional to each other

Write two ratios:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]

[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Set them equal to each other:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Answer

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?

Answers

Answer:

A) 6.66% B) It's a decrease

(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)

The other person who answered is correct

A rectangle is 7 times longer than it is wide. It its perimeter is 144cm, what is it area?

Answers

Answer:

9

Step-by-step explanation:

→ Write an expression for the rectangles width

x

→ Write an expression for the rectangles length

7x

→ Now write an equation for the perimeter

x + 7x + x + 7x = 144

→ Simplify

16x = 144

→ Solve

x = 9

[tex]3\sqrt{x} 6-4\sqrt{x} 6[/tex]




i need help with this problem this is radicals can you please explain to me how to do this it would be very helpful

Answers

- radical x6

Due to radicals being the same you just subtract the values of (3-4) given us -1

PLEASE HELP WITH THIS! IM FALLING BEHIND

Answers

Original side length: A'C'=5

Original angle: 37 degrees

By dilating with a scale factor over one, you are making it bigger. For this, you would multiply A'C' by 5. However, the angle doesn't change.

Resulting side length: A'C'=25

Resulting angle: 37 degrees

The correct answer is C.

Please help me with this problem thank you!

Answers

Answer:

the awnser is or I'm 4th grade

If m∠D = 96°, what will be the m∠C to have a supplementary angle.

Answers

Answer:

84

Step-by-step explanation:

supplementary means two angles that add to 180

180-96=84

Find the length of the midsegment of the trapezoid.

Answers

Answer:

So 18+-10=8, 18+-8=10. So the answer is 8 I guess.  

MN = 66.5 is the answer

Find the area of a circle with a radius of 5 feet. Round your answer to the nearest tenth.
area: about
ft2

Answers

Answer:

78.6

Step-by-step explanation:

Area of  circle = Pi*r^2

r=5

for pi use calculator or pi=3.142

area =Pi*r2=(3.142)*5^2=(3.142)*25=78.55 = 78.6 (1 decimal place which is same with tenth)

What is the area of this trapezoid

Answers

Answer:

468

Step-by-step explanation:

Area of trapezoid=1/2 *h(l1+l2)

=1/2*18*(15+37)

=9*52

=468

The answer is 468 I think

What is a[tex]\frac{1}{3}[/tex] As a ratio?

Answers

Answer

Ratio of 1/3
= 1:3
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