Answers
Answer:
The equivalent will be:
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]
Therefore, option 'a' is true.
Step-by-step explanation:
Given the expression
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]
Let us solve the expression step by step to get the equivalent
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]
as
[tex]\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=x^{2\cdot \frac{1}{7}}[/tex]
[tex]=x^{\frac{2}{7}}[/tex]
also
[tex]\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=y^{3\cdot \frac{1}{5}}[/tex]
[tex]=y^{\frac{3}{5}}[/tex]
so the expression becomes
[tex]\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex] ∵ [tex]\:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}[/tex]
Thus, the equivalent will be:
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]
Therefore, option 'a' is true.
Related Questions
whats 3,648 dividing 91?
Answers
Answer:
40,08791209Step-by-step explanation:
Answer:
Assuming you meant 3,648/91 it would be 40.0989
Step-by-step explanation:
However if you meant 91/3,648 your answer would be 0.0249
HELP ME! 7th grade
Due todayyyy
Answers
Answer:
it has to do with math i think
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Since there is 4 and 1/3 you go 4 and the three lines in between the numbers, you go 1 so 4 and one line in between
Santa has many toys to deliver on Elm Street. If there are 48 kids that live on Elm
Street and 12 of them are boys what is the ratio of girls to boys?
Answers
Answer: 3 : 1
Step-by-step explanation:
We know that there are 48 kids in Elm street.
12 of them are boys, then the number of girls will be:
48 - 12 = 36
So there are 12 boys and 36 girls.
Then the ratio of girls to boys is 36:12
We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:
36/12 : 12/12
3 : 1
Then the ratio is 3 to 1.
What are the coordinates of point P on the directed line segment from R to Q such that P is the length of the line segment from R to Q? Round to the nearest tenth, if necessary.
Answers
Answer:
(-3.5, 2.3)
Step-by-step explanation:
Took the assignment on Edge 2020, hope this helps! :)
Answer: (-3.5, 2.3)
right on edg 2021
Step-by-step explanation:
9.45% of the rooms in a hotel are booked. If 36 rooms are booked, how many rooms are in the hotel total?
Answers
Answer:
~381 rooms
Step-by-step explanation:
9.45% of the rooms is 36
36/9.45= 3 17⁄21
3 17⁄21*100= 380 20⁄21
round to 381
Irena sells ice cream
One day she sells 80 ice creams,
the next day she sells 108 ice creams.
Work out the percentage increase in the number of ice creams she sells.
Answers
Answer:
35%
Step-by-step explanation:
Change/original x 100
The change between 80 and 108 is 108-80 = 28.
28/80 x 100 (80 is our original number of ice cream cones that she sold).
.35 x 100 = 35%
Answer:
The answer is 35%.
how much are these coins worth????????
Answers
Answer:
$1.48
Step-by-step explanation:
What is the perimeter of triangle DEF?
Answer choices:
90 cm
40 cm
45 cm
9 cm
Answers
Answer:
If triangle EFD is similar to ABC then side EF = 9 cm
Step-by-step explanation:
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point (8,6) represent? If the plants grew 12 mm one season, how much rain fell?
Answers
Answer/Step-by-step explanation:
✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.
✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.
From the graph, when y = 12, x = 16.
This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.
Therefore:
If the plants grew 12 mm one season, 16 cm rainfall fell.
whats 116 as an decimal
Answers
Answer:
116.00
Step-by-step explanation:
is it A B C or D. i need help quickly
Answers
Answer:
D
Step-by-step explanation:
D is the only one with 1.5 as a y-intercept.
~theLocoCoco
Answer:
Answer is D
Step-by-step explanation:
0x means that the x axis did move. the y intercept is 1.5. if no number appears infront of y or x just know that the 1 is always infront of y or x even if you don't see it.
Which graph matches it also i need this asap Thank you!
Answers
Answer:
6
Step-by-step explanation:
..
Jenny made 520 walnut biscuits. This is 40% of the total number of biscuits that she made. How many biscuits did she make in all?
Answers
she made 1300 biscuits
Brainliest!!!!!!!
12(7y+4)
Answers
[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ \\ 12(7y + 4) = 0 \\ \\ 84y + 48 = 0 \\ \\ 84y = - 48 \\ \\ y = - 48 \div 84 \\ \\ y = - 0.571 \\ \\ {\huge{\boxed{\mathfrak{\pink{hope \: it \: helps}}}}}[/tex]
When you reflect a point over the x-axis you negate the y value.
True
False
Answers
Answer:
True.
Step-by-step explanation:
The rule for reflecting the X value is to negate the Y value but leave the X as it is.
Example: K= (7,2) when reflected it would be (7,-2).
BRAINLEST: Please help :(
Answers
Answer:
i think it would be 20%
Step-by-step explanation:
What is the slope of the line that passes through the points (-10, –4) and (10, -29)? Write your answer in simplest form. Answer: Submit Answer undefined attempt i out of
Answers
Answer:
-5/4
Step-by-step explanation:
What is the circumference of a circle with a radius of twelve inches, in terms of pi?
Answers
Answer:
24
Step-by-step explanation:
Given the coordinates of a rectangle A(2,5) B(6,5) C(6,-5) and D(2,-5), write the equations of the lines of reflection
Answers
Answer: D
Step-by-step explanation: because I got the same question and got it right
cual es el nombre de la cantidad que no es constante
Answers
Answer:
what is the name of the amount that is not constant
Step-by-step explanation:
The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a
rate of 2%. What will the population be in 2030?
O 67,475
O 81.928
O 67.209
O 82.414
Answers
Answer:
The first option
67475
Step-by-step explanation:
Step one:
Given data
The population in Smalltown in 2010 was 45,230
rate= 2%= 0.02
time t= 20 years
Step two:
Let P(t) = population t years after 2010
= 45230e^0.02t
Population in 2030 = P(20)
= 45230e^0.02t(20)
= 45230e^0.4
≈ 67475
Answer:
A
Step-by-step explanation:
Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't
This one is the last question
Answers
Answer:
second choice y = -2(x+4) + 15
7x-7=3x-23. can u show the steps
Answers
Answer: ight bet i gotchu its x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−7=3x−23
Step 1: Subtract 3x from both sides.
7x−7−3x=3x−23−3x
4x−7=−23
Step 2: Add 7 to both sides.
4x−7+7=−23+7
4x=−16
Step 3: Divide both sides by 4.
4x/4=-16/4
ANSWER: X = -4
solve the inequality 3≤7+g
Answers
Answer:
-4 less than or equal to g
Step-by-step explanation:
I'm pretty sure this is the answer please let me know if i'm wrong :3
Evaluate 4c-3 when c= -2
Answers
Answer:
Step-by-step explanation:
4*(-2)-3
-8-3
-11
What is 3/4 Divided 1/6
Answers
Answer:
4.5
Step-by-step explanation:
plz help this paper is worth 50 points
Answers
Answer:
whats the paper about though we can't answer if you dont tell us
If there is no paper/picture we can't solve it attach your question next time if you want help.
THE LOOK DOWN PLZ ||
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Answers
Answer:
D. Lol is this Ed.genuity?
Step-by-step explanation:
if there is some one out there that can help me finish some math can you be so kind to help me plz thanx :) ps: last question at least 50 points
Answers
Answer:
Okie I will help you what is the question?
Please help ASAP thanks :3
The height of a rectangular prism is 15 centimeters the area of its base is 270 square centimeters
What is the volume of the rectangular prism?
Answers
Answer:4,050
Step-by-step explanation:
The volume of the rectangular prism is 4050 centimeter cube
What is Volume?Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
What is rectangular prism?In geometry, a rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles
Height of the rectangular prism =15 cm
Area of the base =270 centimeter square
Volume of the rectangular prism = Area of the base × Height
=270×15
=4050 centimeter cube
Hence, the volume of the rectangular prism is 4050 centimeter cube
Learn more about Volume and Rectangular prism here
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