simplify the exponential expression completely. pleeeease help me!!!!! thank you so so so much!!! *will give brainliest*

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.

Answer:

The number of quarts of carrot juice used is approximately 0.3333.

Step-by-step explanation:

The proportional relationship between the quarts of prune juice (p) and carrot juice (c) in the recipe is given as;

     4p = 12c

Thus for 1 quart of prune juice, the quarts of carrot juice required can be determined by;

i.e p = 1

So that,

4 x 1 = 12c

4 = 12c

c = [tex]\frac{4}{12}[/tex]

  = [tex]\frac{1}{3}[/tex]

  = 0.3333

The number of quarts of carrot juice used is approximately 0.3333.

Answer:

72 degrees

Step-by-step explanation:

Calculate the number of sides in the regular polygon. We do this by dividing 360° by the size of one exterior angle, which is 72°

Answer:

ok

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

7.5/5=1.5

1.5x8=12

Answer:

Step-by-step explanation:

3x + 2y = 12

      2y = -3x + 12

        y = [tex]\frac{-3}{2}x + \frac{12}{2}[/tex]

        y = [tex]\frac{-3}{2}x + 4[/tex]

2) x + y = 8

          y = -x + 8

Answer:

D

Step-by-step explanation:

(4/5)x*5=8*5

4x=40

4x/4=40/4

x=10

Answer:

The first answer

Step-by-step explanation:

When you dilate something by a fraction the quadrilateral is going to get smaller. So, we can eliminate 2 and 4. Next I took point A and dilated it by 1/2 and then applied the translation to it. Once I figured out where each one landed, the first one was correct because it was on point E of EFGH and the other translation was not.

Answer:

Every 10 minutes, it would print 1,200 copies.

Brainliiest please

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

Read more about Objects Transformation at; https://brainly.com/question/3457976

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Answer:

x = 2

Step-by-step explanation:

Hope this helps, have a good day

Answer:

H

Step-by-step explanation:

Answer:

The answer is G because:

the y-intercept is -3 because that's what y is when x is 0

the slope is 2 because the y-values are going up by 6 every time and the x values are going up by 3. slope is rise/run (rise is y because it's axis is vertical and the run is x because it's axis is horizontal) so the slope is 6/3 or simplified to 2.

to write the equation you plug in the values above into the slope intercept form which is:

y = mx + b

where m is the slope and b is the y-intercept

so the answer is y= 2x -3 or G

Step-by-step explanation:

Answer:

Answer:

radio waves, microwaves, infrared, visible light, ultraviolet light, X-rays, gamma rays

Explanation:

Electromagnetic waves are oscillations of electric and magnetic fields in a direction perpendicular to the direction of motion of the wave (transverse waves). They are classified into 7 different types, according to their frequencies.

From lowest to highest frequency, we have:

Radio waves

Microwaves

Infrared

Visible light

Ultraviolet

X-rays

Gamma rays

Step-by-step explanation:

i hope this is right :)

Answer:

ummm this doesnt make sense mabey 25

Step-by-step explanation:

Answer:

Let x be the number,

7-10x>37

The required inequality is 10x - 7 > 37

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Thirty-seven is less than the difference of seven and ten times a number.

Let x be the number, we get,

10x - 7 > 37

Hence, The required inequality is 10x - 7 > 37

For more references on inequality, click;

https://brainly.com/question/28823603

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Answer:

the pole is 24 feet tall

Step-by-step explanation:

the mirror make every thing half its size

Answer:14

Step-by-step explanation:

44/3.14(pie)=14.01

Answer:

? what are the answers from 1 and 2?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answers were 6 and 210

Answer:

$98

Step-by-step explanation:

Got it right on Edge2020

Answer:

yeah first dude is right its 98

Step-by-step explanation:

:)

Answer:

1. SAS 2. SSS 3. ASA 4. AAS

Step-by-step explanation:

1. They provide you with an equal side, an equal angle, and one shared side which is equal.

2. They provide you with an equal side, another equal side, and one shared side that is equal.

3. They provide you with an equal angle, an equal side, and another equal angle.

4. They provide you with an equal angle, another equal angle, and one shared side that is equal.

Answer:

-1/3

Step-by-step explanation:

The slope an equation is the number that is being multiplied by x. This is known as the coefficient. A coefficient is a number that’s being multiplied by a variable. In this equation, -1/3 is the slope because that’s the coefficient, it’s being multiplied by the variable x.

Hope this helps! :)

Answer:

I think its eight but I could be wrong

Answer:

27

Step-by-step explanation:

i dont know how to describe what i did but it is correct

Answer:

yes it is because they all = to 3 when I divide them so they are proportinal

Step-by-step explanation:

Answer:

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

Step-by-step explanation:

Let the four consecutive odd integers be [tex]x,x+2,x+4,x+6[/tex]

The sum of the first two and the greatest of 4 consecutive odd integers is 29.

[tex]x+x+2+x+6=29\\3x+8=29\\3x=29-8\\3x=21\\x=7[/tex]

Therefore,

[tex]x=7\\x+2=7+2=9\\x+4=7+4=11\\x+6=7+6=13[/tex]

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

Answer:

11/12

Step-by-step explanation:

Answer:

The solution is !.25x+450P=956X

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:

27 and 28

Step-by-step explanation: