Mathematics College

Which expression is equivalent to 7 2/3 ⋅ 7 1/4?

Which Expression Is Equivalent To 7 2/3 7 1/4?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Recall that [tex]7^a\cdot 7^b = 7^{a+b}[/tex]

So now

[tex]7^{2/3} \cdot 7^{1/3}\\= 7^{\frac{2}{3}+\frac{1}{4}}\\=7^{\frac{8}{12}+\frac{3}{12}}\\=7^{11/12}[/tex]

Answer 2

The equivalent value of the expression is A = 7^ ( 11/12 )

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the first number be p = 7 ^ ( 2/3 )

Let the second number be q = 7 ^ ( 1/4 )

And , A = pq

On simplifying , we get

A = 7 ^ ( 2/3 ) . 7 ^ ( 1/4 )

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

So , A = 7 ^ ( 2/3 + 1/4 )

A = 7 ^ ( 11/12 )

Hence , the equation is 7^ ( 11/12 )

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Related Questions

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Answers

Answer:

noo square root of 2 is not an irrational

sqrt(2) is irrational. It cannot be expressed as a fraction.

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Answers

It is the blue one. By doing the vertex formula we can see the x value of the vertex is -3/4. The blue one best represents that as the negative A value shows the parabola will be facing down too and have a maximum not a minimum for the vertex

If f(x) = 3x+10x and g(x)=5x-3, find (f+g)(x)

A. 3x-5x+3

B. 18x-3

C. 3x+5x+3

D. 3x+15x-3

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Answer:

B. 18x - 3

Step-by-step explanation:

these are the steps..

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it should be the top right answer, because the -3 is not in a grouping symbol with x therefore it moves on the y axis down 3

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Answer:

Step-by-step explanation:

(-∝;2)

Answer: (-infinity, 2]

Step-by-step explanation:

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Answers

Answer:

a.

1 + 2 + 1 + 2 + 6 + 9 + 13 + 5 = 39

b.

Final Scores | Frequency

       30                 1

       40                 2

       50                 1

       60                 2

       70                 6

       80                 9

       90                 13

       100                5

c.

[tex]\frac{9+13+5}{39}=\\\\\frac{27}{39}=\\\\69[/tex]

69% of students scored 80 or greater.

A group of scientists records the amount of local rainfall per month over a period of 10 years. Which kind of graph would be most useful to show this data?

bar graph


circle graph


line graph


picture graph

Answers

It would be a line graph

Find the area.
Simplify the answer.

Answers

[tex]\text{A}_{\square}=\text{a}^2\\\\a\longrightarrow\text{x}+1\\\\\text{A}_{\square}=(\text{x}+1)^2=(\text{x}+1)(\text{x}+1)=\text{x}^2+\text{x}+\text{x}+1=\boxed{\text{x}^2+2\text{x}+1}[/tex]

Y/3 -4 = 2 What does Y equal?

Answers

Answer:

y = 18

Step-by-step explanation:

y/3 - 4 = 2

y/3 = 6

y = 18

Where can I find the answers for intermediate Algebra 11th edition

Answers

Answer:Brainly.com

Step-by-step explanation: type it in

evaluate 7m + 3mn when m=8 and n=14

Answers

Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 336

=392

*Brackets mean to multiply.

How do I answer number 3?

Answers

Your example: 5+6a+11b

Term: Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

Your example: 5, 6a, 11b

Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression.

Your example: 5, 6, a, 11, b

Coefficient: The numerical factor of a multiplication expression that contains a variable.

Your example: 6, 11

Constant: A number that cannot change its value.

Your example: 5

Answer: factors are 5, 6, a, 11, b

-Credit to  frika

What happens to a line segment when you rotate around an endpoint?

A It reverses the vertices

B. It doubles the line

C. It creates a parallel line

D. All of the above

Answers

Answer:

A) It reverses the vertices

hope it helps.

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Answers

Step-by-step explanation:

10+10÷2

By using BODMAS,

10+10÷2

=10+5

=15

Answer:

Answer is 15 *by using bodmas*

The wind blew away 33 of your muffins. That was 3/4 of all of them! With how many did you start

Answers

Answer:

44

because each that's ¼ has 11 so 11x4 =44

You can translate this into the statement “33 is 3/4 of what number?”
Translating that into math, you have:
     33 is 3/4 of what number?
     33 =  3/4 •   x

To solve 33 = 3/4•x, you divide both sides by 3/4

33÷ (3/4) = x

To divide by a fraction means you multiply by it’s reciprocal, 4/3.

33 ÷ (3/4) = 33 • 4/3

33 • 4/3 = 44

You started with 44 muffins.

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Answers

Answer:

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Step-by-step explanation:

colored circle means it's also a possible value

help please I'm really struggling ​

Answers

Answer:

a).

[tex](fog)(x) = f(g(x)) \\ = (3x + 1) + 4 \\ = 3x + 5 \\ [/tex]

b).

[tex](gof)(x) = g(f(x)) \\ = 3(x + 4) + 1 \\ = 3x + 12 + 1 \\ = 3x + 13[/tex]

c).

[tex](fog)( - 2) = 3( - 2) + 5 \\ = - 6 + 5 \\ = - 1[/tex]

d).

[tex](gof)( - 2) = 3( - 2) + 13 \\ = - 6 + 13 \\ = 7[/tex]

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In fortnight for every 20 steps avatar moves 80 feet​

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

18.75m³ of sand

Step-by-step explanation:

volume =lbh

h=125cm=1.25m

v=2.4*6.25*1.25

=18.75m³

The cub sand will be able to load 4.95m³.

To solve this question, we've to find the volume of the trailer and this goes thus:

Height = 125cm = 1.25m

Length = 2.4m.

Width = 1.65m

Volume = Length × Width × Height

Volume = 2.4m × 1.65m × 1.25m

Volume = 4.95m³

Therefore, the cub sand will be able to load 4.95m³.

Reas related link on:

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6 + 0.4 + 0.009 ________ 6 + 0.07 + 0.009

6 + 0.07 + 0.009 > 6 + 0.4 + 0.009
6 + 0.07 + 0.009 = 6 + 0.4 + 0.009
6 + 0.4 + 0.009 > 6 + 0.07 + 0.009
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Answers

Answer:

6 + 0.4 + 0.009 > 6 + 0.07 + 0.009

Step-by-step explanation:

6 + 0.4 + 0.009 > 6 + 0.07 + 0.009

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Answers

Answer:

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Step-by-step explanation:

8th term is given by,

ar⁷

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