3f^4g^3 x 8fg^4 / (6f^2g^3)^2 how do you do this?

Answers

Answer 1

9514 1404 393

Answer:

  2/3·fg

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c) = a^(bc)

__

We assume your 'x' is a multiplication symbol, so you want to simplify ...

  [tex]3f^4g^3 \times\dfrac{ 8fg^4}{ (6f^2g^3)^2}\\\\=\dfrac{3\cdot8f^{4+1}g^{3+4}}{6^2f^{2\cdot2}g^{3\cdot2}}=\dfrac{24}{36}f^{5-4}g^{7-6}\\\\=\boxed{\dfrac{2}{3}fg}[/tex]


Related Questions

Porqué el valor del coeficiente de la variable al cuadrado de una función cuadratica no puede ser cero?

Answers

Answer:

Ver respuesta abajo

Step-by-step explanation:

Una ecuación cuadrática es una ecuación que tiene la siguiente forma:

ax² + bx + c = 0

Donde:

a, b y c: coeficientes numéricos que acompañan a la incógnita.

Ahora bien, una función cuadrática es basicamente la misma ecuación cuadrática pero representada graficamente en un plano cartesiano.

Para que una ecuación o función sea cuadrática es absolutamente necesario y obligatorio que su expresión en forma de ecuación tenga el elemento "ax²", pues el "cuadrado" que es el exponente 2 que eleva la incógnita es lo que le da la característica de ecuación o función cuadrática.

Si el coeficiente que acompaña al x², es decir, el valor de a es cero, automaticamente pierde la condición de ser una función o ecuación cuadrática pues dicho término se hace cero su valor. En otras palabras, si x es un número cualquiera y está representado como incógnita, ¿qué sucede cuando multiplicas cualquier número por cero?, en este caso, el resultado es igual a cero:

Ejemplo:

0x² = 0 * x² = 0.

Por tanto, si el término cuadrático se hace cero, ya pierde la condición de cuadraticidad, y su gráfico no sería de forma parabólica, solo quedaría los términos bx + c, pero eso ya pertenece a una ecuación lineal o función afín.

Espero esto te sirva.

Please answer ASAP i need this immediately

Answers

Answer:

2/3 is less than 1 1/15

Step-by-step explanation:

2/3 * 1 3/5 = 1 1/15

2/3 < 1 1/15

Answer:

>

Step-by-step explanation:

2 over 3 is less than 1 and 3 over 5

Can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …

Answers

Answer:

48

Step-by-step explanation:

You multiply by 2 each time

I believe it is multiplying by 2 each time.

3 x 2 = 6

6 x 2 = 12

12 x 2 = 24

So if this was true to continue we would just multiply by 2....

24 x 2 = 48

48 x 2 = 96

96 x 2 = 192

192 x 2 = 384

384 x 2 = 768

and continue for as long as you need to go....

Hope this helped!

A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
У.
B (27, 30)
Point A has coordinates (3, 2)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.

Answers

Answer:

The coordinates of C are (15,16)

Step-by-step explanation:

As we can see, point C lies half the distance of AB

So we can use the midpoint formula to get the coordinates of C

we have this as:

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,2)

(x2,y2) = (27,30)

Thus, we have

(x,y) = (3 + 27)/2, (30 + 2)/2

(x,y) = 30/2 , 32/2

(x,y) = (15,16)

Find the 18th term of the arithmetic sequence whose common difference is d=5 and whose first term is a = 4.

Answers

Answer:

Step-by-step explanation:

a₁₈ = a₁+(18-1)d = 4+17·5 = 89

Roger jarred 15 liters of jam after 2 days. How much jam did Roger jar if he spent 6 days making jam?​

Answers

Answer: 45 liters

Step-by-step explanation:

If Roger jars 15 liters of jam in 2 days, we can divide to see how much liters of jam Roger can jar in 1 day. We can divide 15 by 2 to find how much jam can be jarred in one day.

15 / 2 = 7.5.

Roger can jar 7.5 liters of jam every day.

Now we can multiply 7.5 by 6 to find how much jam Roger can jar at the end of 6 days.

7.5 x 6 = 45.

Therefore, Roger can jar 45 liters of jam in 6 days.

Please help! Thanks!

Answers

Step-by-step explanation:

Put the what given of y in equation 2 to equation of 1

So you get

[tex] \frac{4}{5} x + \frac{2}{5} x - 7 = - 4 \\ \frac{6}{5} x = 3 \\ x = \frac{15}{6 } \\ x = \frac{5}{2} [/tex]

Then put the value of x in second equation

You will get

[tex]y = - \frac{2}{5} \times \frac{5 }{2} + 7 \\ \\ y = 6[/tex]

Find the missing value to the nearest hundredth.
Cos = 5/36

Answers

Answer:

Step-by-step explanation:

"cos" by itself is meaningless. It needs an argument.

cos(x°) = 5/36

x° = arccos(5/36) ≅ 82.2°

Can someone please help me solve these?

Answers

9514 1404 393

Answer:

  (c)  h(x) = (3x +4)(2x +1)

Step-by-step explanation:

The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.

The middle term (11x) is only created by the third choice:

  (3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)

  = 6x^2 +3x +8x +4

  = 6x^2 +11x +4 . . . . matches the given h(x)

- 10x - 5y = 5 - 4x + 5y = 23

Answers

The answer is (-2,3)

What is the volume of a cube with an edge length
of 2/3 foot?

Answers

Answer:

V= 512 inches or, 42.67 feet

Step-by-step explanation:

So a cube has the same length on all sides so you would multiply length times with times area or V = a^3

So, 2/3 foot is equal to 8 inches so you would do V = 8^3 which would get you the answer,

rewrite the equation:
0=x^2+4x+1

Answers

Answer:

-x^2-4x-1=0

plz mark as brainliest

Step-by-step explanation:

Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.

Answers

Answer:

Area=36.66 cm^2

Step-by-step explanation:

First, you need the height.

Use the Pythagorean theorem:

hypotenuse^2=height^2+(1/2 base)^2  

It's one-half base because it's an equilateral triangle.

1/2 base =4.6

(9.2)^2-4.6^2=height^2

84.64-21.16=height^2

height^2=63.48

height=7.97

Area=(1/2)(base)(height)

Area=(1/2)(9.2)(7.97)=36.66 cm^2

2,6,18,54 what is the 10th term of the sequence​

Answers

Answer:

78

Step-by-step explanation:

I'm really good at these

Answer:

Step-by-step explanation:

This is a geometric sequence with common ratio 3.

10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366

shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation​

Answers

the total sale was neither a profit nor loss , 0%

Step-by-step explanation:

1st table :

100%-> 9900

110%-> 10890

10890-9900=990(earned)

------------------------------------------

2nd table :

100%->9900

90%-> 8910

9900-8910=990(lost)

990-990=0

hence the total sale was neither a profit nor loss , 0%

Please help I really need this tysm to who answers this.​

Answers

Answer is -1/9, I hope this helps:)

solve the inequality y - 8 > 13

Answers

Y >21 this is the inequality form for you’re question

Please help marking brainiest

Answers

Answer:

can you blow the image up or tell me what it says

Step-by-step explanation:

For what value of x does f(x) = -3? *
.

Answers

Answer:

3

Step-by-step explanation:

Factorize completely
80p2 - 180r2​

Answers

Answer:

80p2 - 180r2

20(4p²-9r²)

20(2p+3r)(2p-3r)

Answer:

20(2p - 3r)(2p + 3r)

Step-by-step explanation:

Given

80p² - 180r² ← factor out 20 from each term

= 20(4p² - 9r²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b)

4p² - 9r²

= (2p)² - (3r)² ← with a = 2p and b = 3r

= (2p - 3r)(2p + 3r)

Thus

80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form

The candy of a lolipop is in the shape of a sphere with a diameter of 4 cm. The
cylindrical stick inside the candy is the same height as the sphere and has a radius of
0.5 cm. What is the composite volume of the candy? Round to the nearest tenth, if
necessary.

Answers

So so so so 0.5cm? Like

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?


16



17.5



20.5



22



35

Answers

Answer:

16 million

Step-by-step explanation:

see the explanation attached above

The given polygons are similar. Find the value of x.

Answers

Answer:

x= 10 hope it helps have a nice day

Answer:

x=10

Step-by-step explanation:

[tex]\frac{8}{12} =\frac{x}{15}[/tex]

8×15=12x

120=12x

120/12=x

10=x

x=10

Hope this helps! :)

Please solve needed as soon as possible thank you I really appreciate it

Answers

Answer:

143

Step-by-step explanation:

Substitute n=3 into the problem

6([tex]3^{3}[/tex])-2([tex]3^{2}[/tex]) +3-4

Then figure out squared and power by 3

6(27)-2(9)+3-4

Next multiply

162-18+3-4

Finally, add and subtract

144+3=147

147-4=143

pls help Kerry cut an $8$ -foot-long board into $6$ pieces that are equal in length.

Answers

Answer:

Kerry should cut it into 1 1/3 pieces

Step-by-step explanation:

divide the total by the parts you want to get the length of a part

8/6=4/3

Is the ordered pair (4,-3) a solution for the following system of linear inequalities?
x+y<+1 y<5x-2

Answers

Answer:

no

Step-by-step explanation:

(4, -3) when plugged into the inequality x + y < 1 is not true

4 + (-3) < 1 is not true because 1 is not less than 1

Will mark BRAINlIEST!!!
What is 2/7+ (−4/7)

Answers

Answer:

- 2/7

Step-by-step explanation:

+ and - becomes -

2/7 - 4/7 =  - 2/7

PLEASE MARK BRAINLIEST!!! <3

Answer:

6/9 yeah that's it I looked It, up.

Step-by-step explanation:

Subtract (-3f - 4g + 9) - (2 - 6f + 5g).

Answers

Answer:

Step-by-step explanation:

Remove the brackets. Watch out for that minus sign. It affects all three terms in the right bracket.

(-3f - 4g + 9) - (2 - 6f + 5g)

-3f - 4g + 9 - 2 + 6f - 5g

+3f - 9g + 7 is your answer.

Answer:

3f−9g+7

Step-by-step explanation:

(−3f−4g+9)−(2−6f+5g)

To find the opposite of 2−6f+5g, find the opposite of each term.

−3f−4g+9−2−(−6f)−5g

The opposite of −6f is 6f.

−3f−4g+9−2+6f−5g

Subtract 2 from 9 to get 7.

−3f−4g+7+6f−5g

Combine −3f and 6f to get 3f.

3f−4g+7−5g

Combine −4g and −5g to get −9g.

3f−9g+7

Animal Nutrition Kevin's dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and
has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of vitamins a month and at least
2375 calories during the same time period. Kevin has space to store only 60 cans of dog food at a time. How much of each kind of dog food should Kevin buy each month to minimize his cost?

Answers

Answer:

The answer should be 15 cans GD and 25 cans CH

Step-by-step explanation:

PLEASE I NEED THE ANSWER NOW 11 POINTS FOR CORRECT ANSWER BRAINLIEST TOO

Answers

Answer:

I believe its 3.3m

Step-by-step explanation:

I haven't taken geometry in a few years so sorry if its wrong

2.2/0.3= 7.3

This means that the shadow of the tree is x7.3 bigger than the cat’s shadow.

So you do 0.45x7.3=3.28m (you can round it to 3.3m)

This means the height of the tree is 3.3m!
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