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
Elina [12.6K]
3 years ago
9

Write the factorizations of the exponents below and then compute the exponents below

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Given:

The exponents.

To find:

The factorizations of the exponents and their values.

Solution:

We know that,

a^n=a\times a\times a\times ...\times a(n-times)

Using this rule, we get the factorizations of the given exponents and their values.

2^3=2\times 2\times 2=8

3^2=3\times 3=9

6^2=6\times 6=36

4^3=4\times 4\times 4=64

7^3=7\times 7\times 7=343

8^2=8\times 8=64

3^4=3\times 3\times 3\times 3=81

7^2=7\times 7=49

6^3=6\times 6\times 6=216

9^2=9\times 9=81

You might be interested in
David goes to college by bus.
oee [108]

Answer:

The answer is 30 times a year

Step-by-step explanation:

8 0
3 years ago
Michelle is filling out a form and needs to enter her height in meters. She knows that she is 145 centimeters tall. What value s
Viefleur [7K]
The value is 1.45 meters
3 0
3 years ago
Read 2 more answers
The team's combined score was 0. What was Travis's score
Pavlova-9 [17]

Answer:

Sorry but we need more info.

Step-by-step explanation:

:)

8 0
3 years ago
My age if I am half as old as two more than twice Mack's age if Mack is m years old.
pentagon [3]

Answer:

You are m + 1 years old.

Step-by-step explanation:

Let's say that you are x years old, and Mack is m years old.

x = 1/2( two plus twice m)

x = 1/2(2 + 2m)

x = 1 + m

x = m + 1

Hope this helps!

6 0
3 years ago
Read 2 more answers
Classify each conic section and write its equations in standard form. Show work.
svp [43]

Answer:

The conic is ellipse of equation (x - 1)²/22 + (y + 4)²/44 = 1

Step-by-step explanation:

* Lets revise how to identify the type of the conic  

- Rewrite the equation in the general form,  

 Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal  

 to each other, then the graph is an ellipse.  

- If A and C are equal and nonzero and have the same sign, then  

 the graph is a circle  

- If A and C are nonzero and have opposite signs, and are not equal  

then the graph is a hyperbola.  

- If either A or C is zero, then the graph is a parabola  

* Now lets solve the problem

The equation is 4x² + 2y² - 8x + 16y - 52 = 0

∴ A = 4 and C = 2 ⇒ same sign and different values

∴ The equation is ellipse

* The standard form of the ellipse is

  (x - h)²/a² + (y - k)²/b² = 1

- Lets try to make this form from the general form

- Group terms that contain the same variable, and move the

  constant to the opposite side of the equation

∴ (4x² - 8x) + (2y² + 16y) = 52

- Factorize the coefficients of the squared terms

∴ 4(x² - 2x) + 2(y² + 8y) = 52

- Complete the square for x and y

# To make completing square

- Divide the coefficient  of x (or y) by 2 and then square the answer

- Add and subtract this square number and form the bracket of

 the completing the square

# 2 ÷ 2 = 1 ⇒ (1)² = 1 ⇒ add and subtract 1

∴ 4[(x² - 2x + 1) - 1] = 4(x² - 2x + 1) - 4

- Rewrite as perfect squares ⇒ 4(x -1)² - 4

# 8 ÷ 2 = 4 ⇒ (4)² = 16 ⇒ add and subtract 16

∴ 2[(y² + 8y + 16) - 16] = 2(y² + 8y + 16)² - 32

- Rewrite as perfect squares ⇒ 2(y + 4)² - 32

∴ 4(x - 1)² - 4 + 2(y + 4)² - 32 = 52

∴ 4(x - 1)² - 4 + 2(y + 4)² = 32 + 4 + 52

∴ 4(x - 1)² + 2(y + 4)² = 88 ⇒ divide all terms by 88

∴ (x - 1)²/22 + (y + 4)²/44 = 1

8 0
2 years ago
Other questions:
  • A block of southern pine wood has a mass of 54.6 g and density of 0.65 ​ g/cm3 ​ . The block is a rectangular prism with a lengt
    15·2 answers
  • Please help me ???????
    8·2 answers
  • M(6, 6) is the midpoint of mc139-1.jpg. The coordinates of S are (8, 9). What are the coordinates of R?
    7·2 answers
  • -17-(-1)+2/3+(-1/2) or negative seventeen minus (negative one) plus two thirds plus (negative one half)
    13·1 answer
  • What is the solution set of the equation 8/q+2= q+4/q-1?
    10·2 answers
  • Help!!!!!!!!!!!!!!!!
    7·2 answers
  • In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touc
    12·2 answers
  • David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he s
    14·2 answers
  • For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has bee
    7·1 answer
  • 23) A shopkeeper buys 1 dozen of pens at Rs. 20 each and sells at Rs. 18 each. Find his loss and loss percent. 24) The marl​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!