1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
3 years ago
11

What is the simplified form of the following expression? 4/7^3

Mathematics
2 answers:
Gnesinka [82]3 years ago
7 0

Answer:

\frac{64}{343}

Step-by-step explanation:

The given expression is

(\frac{4}{7})^3

We need to find the simplified form of the given expression.

Using the distributive power property of exponent the given expression can be rewritten as

(\frac{4}{7})^3=\frac{4^3}{7^3}           [\because(\frac{a}{b})^x=\frac{a^x}{b^x}]

In can be written as

(\frac{4}{7})^3=\frac{4\times 4\times 4}{7\times 7\times 7}

On further simplification we get

(\frac{4}{7})^3=\frac{64}{343}

Therefore the simplified form of the given expression is \frac{64}{343}.

timofeeve [1]3 years ago
6 0
If your question is :
\frac{4}{7^3}

Then the answer is:
\frac{4}{7*7*7} =  \frac{4}{343}

If your question is:
(\frac{4}{7}) ^{3}

Then the answer is:
\frac{4*4*4}{7*7*7} =  \frac{64}{343}
You might be interested in
Please help me! Only have about 10 minutes until I have to submit this assignment!
salantis [7]

Answer:

626

Step-by-step explanation

8 0
2 years ago
Read 2 more answers
Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v
noname [10]

Answer:

If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.

If b=-2 then the first expression is equal to 8 and the second expression is equal to -36.

If b=10 then the first expression is equal to 440 and the second expression is equal to 324.

Yes, it is true.

Step-by-step explanation:

b=-3:

4b(b+1)=4(-3)(-3+1)=-12(-2)=24

(2b+7)(2b-8)=(2(-3)+7)(2(-3)-8)=(-6+7)(-6-8)=1(-14)=-14

b=-2:

4b(b+1)=4(-2)(-2+1)=-8(-1)=8

(2b+7)(2b-8)=(2(-2)+7)(2(-2)-8)=(-4+7)(-4-8)=3(-12)=-36

b=10:

4b(b+1)=4(10)(10+1)=40(11)=440

(2b+7)(2b-8)=(2(10)+7)(2(10)-8)=(20+7)(20-8)=27(12)=324

8 0
3 years ago
For each sentence, drag a word that will make the statement true.
olchik [2.2K]

Answer:

Equilateral triangles are always acute triangles.

Scalene triangles are sometimes acute triangles.

Right triangles are never acute triangles.

Obtuse triangles are sometimes isosceles triangles.

Step-by-step explanation:

Equilateral triangles are always acute because each angle is 60⁰.

Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.

A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.

An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).

4 0
3 years ago
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?
dmitriy555 [2]
A. 2x^2 - 3x + 10 = 2x + 21
2x^2 - 3x - 2x + 10 - 21 = 0
2x^2 - 5x - 11 = 0                              (quadratic equation)

2x^2 - 6x - 7 = 2x^2
2x^2 - 2x^2 - 6x - 7 = 0
-6x - 7 = 0                                          (not a quadratic equation)

5x^2 + 2x - 4 = 2x^2
5x^2 - 2x^2 + 2x - 4 = 0
3x^2 + 2x - 4                                      (quadratic equation)

5x^3 - 3x + 10 = 2x^2
5x^3 - 2x^2 - 3x + 10 = 0                    (not a quadratic equation)

Therefore, options a and c can be solved using the quadratic formula.
3 0
3 years ago
Which value of x makes the equation below true? 7 + x = 84 A. 12 B. 77 C. 83 D. 91
garri49 [273]

Answer:

B. 77

Step-by-step explanation:

7 + x = 84

Subtract 7 from both sides

x = 77

8 0
2 years ago
Other questions:
  • The coordinates of point a are 30 units of x and 70 units of y. the coordinates of point b are 28 units of x and 76 units of y.
    11·1 answer
  • What is the z-score that corresponds to a cumulative area of 0.0122?
    8·1 answer
  • FAST PLEASE
    10·1 answer
  • If 50Ib = 22.68 kg, what is 15/8y pounds in kilograms? PLZ help me I don't understand
    6·1 answer
  • Plz help me this question if you would like to gain more points from this question then press my name and go to my lateset quest
    15·1 answer
  • What is the inverse of this function? <br> f(x)=y=3x/8+x
    10·1 answer
  • Please help quickly! Thank you!
    6·2 answers
  • Find the mean, median, and mode of the data. 67, 59, 34, 71, 59
    7·2 answers
  • In slope-intercept form, what is the equation of the line passing through the points (3, 17) and (7, 25)?
    13·2 answers
  • Help me or pretty please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!