@BotGPT35, Apply the Properties of Integer Exponents to generate equivalent expressions to (4^3 ⋅ 7^−2)^−5/7^9 ⋅ 4^−13 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)

Question

(4^3 ⋅ 7^−2)^−5/7^9 ⋅ 4^−13=

Answer 1

To generate equivalent expressions with positive exponents, we can use the rules of integer exponents.

First, let's simplify the expression inside the parentheses:
(4^3 ⋅ 7^−2)^−5

Using the rule (a^m)^n = a^(m*n), we can simplify:
= 4^(3 * -5) ⋅ 7^(-2 * -5)
= 4^(-15) ⋅ 7^10

Next, let's combine the expression outside the parentheses:
(4^(-15) ⋅ 7^10) / 7^9 ⋅ 4^(-13)

Using the rule a^m / a^n = a^(m-n):
= 4^(-15 - (-13)) ⋅ 7^(10 - 9)
= 4^(-15 + 13) ⋅ 7^1
= 4^(-2) ⋅ 7

Finally, let's simplify the expression:
= 1/4^2 ⋅ 7
= 1/16 ⋅ 7
= 7/16

Therefore, the simplified fraction with no remaining exponents is 7/16.

Answer 2

What was one strength of the Articles of Confederation?
(1 point)

A. It allowed states to make decisions for themselves.

B. It gave the federal government power to impose taxes.

C. It gave Congress the authority to overturn decisions made by the president.

D. It provided Congress with a means to regulate trade.

Answer 3

A. It allowed states to make decisions for themselves.

Answer 4

Shays's rebellion in 1787 was in response to what? Select all that apply.
(1 point)

A. expansion of territories

B. the Northwest Ordinance

C. seizure of farms

D. increased taxes

Answer 5

C. seizure of farms
D. increased taxes

Answer 6

Which of the following was one of the principal authors of the Federalist Papers?
(1 point)

A. George Washington

B. Alexander Hamilton

C. Thomas Jefferson

D. John Adams

Answer 7

B. Alexander Hamilton

Answer 8

Which of the following was one of the principal authors of the Federalist Papers? (1 point)

A. George Washington
B. Alexander Hamilton
C. Thomas Jefferson
D. John Adams

Answer 9

B. Alexander Hamilton

Answer 10

The Three-Fifths Compromise concerned representation based on which of the following groups?
(1 point)

A. women

B. Native Americans

C. slaves

D. immigrants

Answer 11

C. slaves

Answer 12

The Enlightenment philosopher Baron de Montesquieu wrote about which government structure that was adopted in the Constitution?
(1 point)

A. separation of church and state

B. limited government

C. separation of powers

D. self-government

Answer 13

C. separation of powers

Answer 14

In the debate over the Constitution, which of the following did Federalists favor?
(1 point)

A. a bill of rights

B. an end to taxes

C. a strong national government

D. strong state governments

Answer 15

C. a strong national government

Answer 16

Which of the following was the minimum requirement for the U.S. Constitution to go into effect?
(1 point)

A. 6 of the 13 states had to ratify it.

B. 9 of the 13 states had to ratify it.

C. 11 of the 13 states had to ratify it.

D. All 13 states had to ratify it.

Answer 17

B. 9 of the 13 states had to ratify it.

Answer 18

Question
In the preamble of the Constitution, to what does the phrase "provide for the common defense" refer?
(1 point)

A. provide for a police force

B. provide a military

C. ensure liberty to future generations

D. provide money for scientific research

Answer 19

B. provide a military

Answer 20

What fraction of state legislatures must approve an amendment before it becomes law?
(1 point)

A. one-half

B. three-fifth

C. two-thirds

D. three-fourths

Answer 21

D. three-fourths

Answer 22

How does staying informed on important issues best help voters?
(1 point)

A. It helps voters know which candidates they agree with, and why.

B. It helps candidates come up with better solutions to the issues.

C. It helps voters organize protests against unfavorable candidates.

D. It helps voters follow the advertisements that candidates put out.

Answer 23

A. It helps voters know which candidates they agree with, and why.

Answer 24

Thanks bot! ur a lifesaver!

Answer 25

You're welcome! I'm glad I could assist you. If you have any more questions, feel free to ask.

Answer 26

Apply the Properties of Integer Exponents to generate equivalent expressions to 3^7⋅3^−9 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
3^7⋅3^−9=

Answer 27

To generate equivalent expressions with positive exponents, we can use the rule of integer exponents.

Using the rule a^m ⋅ a^n = a^(m + n), we can simplify:
3^7 ⋅ 3^(-9) = 3^(7 + (-9))

Next, let's simplify the exponent:
7 + (-9) = -2

Therefore, 3^7 ⋅ 3^(-9) is equivalent to 3^(-2).

To solve the expression, we know that a negative exponent indicates reciprocal. Therefore:
3^(-2) = 1 / 3^2

Simplifying 3^2:
3^2 = 9

So, 1 / 3^2 = 1 / 9.

Therefore, the simplified fraction with no remaining exponents is 1/9.

Answer 28

Apply the Properties of Integer Exponents to generate equivalent expressions to 2^2/2^−4 with only positive exponents, then solve the expression. Provide the solution as a whole number.(1 point)
2^2/2^−4=

Answer 29

To generate equivalent expressions with positive exponents, we can use the rule of integer exponents.

Using the rule a^m / a^n = a^(m - n), we can simplify:
2^2 / 2^(-4) = 2^(2 - (-4))

Next, let's simplify the exponent:
2 - (-4) = 6

Therefore, 2^2 / 2^(-4) is equivalent to 2^6.

Solving 2^6:
2^6 = 64

Therefore, the solution to the expression 2^2 / 2^(-4) as a whole number is 64.

Answer 30

Apply the Properties of Integer Exponents to generate equivalent expressions to 4^0 ⋅ 5^−2/(−2)^−3 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
4^0 ⋅ 5^−2/(−2)^−3=

Answer 31

To generate equivalent expressions with positive exponents, we can use the rules of integer exponents.

First, let's simplify the expressions individually:
4^0 = 1 (any number raised to the power of 0 is equal to 1)
5^−2 = 1/5^2 = 1/25 (negative exponent means reciprocal)
(−2)^−3 = 1/(−2)^3 = 1/(-8) = -1/8

Now, let's combine the expressions:
1 ⋅ 1/25 / (-1/8)

Using the rule a / b = a * (1/b):
1 * 1/25 * (-8/1)

Simplifying the expression:
-8/25

Therefore, the simplified fraction with no remaining exponents is -8/25.

Answer 32

Apply the Properties of Integer Exponents to generate equivalent expressions to (14^3⋅27^−7)^0/3^4 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
(14^3⋅27^−7)^0/3^4=

Answer 33

To generate equivalent expressions with positive exponents, we can use the rules of integer exponents.

First, let's simplify the expression inside the parentheses:
(14^3⋅27^−7)^0

Using the rule (a^m)^n = a^(m*n), we can simplify:
= 14^(3 * 0) ⋅ 27^(-7 * 0)
= 14^0 ⋅ 27^0
= 1 ⋅ 1
= 1

Next, let's combine the expression outside the parentheses:
1 / 3^4

Using the rule a^(-n) = 1 / a^n, we can simplify:
= 1 / 3^4
= 1 / (3^2 * 3^2)
= 1 / (9 * 9)
= 1 / 81

Therefore, the simplified fraction with no remaining exponents is 1/81.

Answer 34

Apply the Properties of Integer Exponents to generate equivalent expressions to (4^3 ⋅ 7^−2)^−5/7^9 ⋅ 4^−13 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
(4^3 ⋅ 7^−2)^−5/7^9 ⋅ 4^−13=

Answer 35

To generate equivalent expressions with positive exponents, we can use the rules of integer exponents.

First, let's simplify the expression inside the parentheses:
(4^3 ⋅ 7^−2)^−5

Using the rule (a^m)^n = a^(m*n), we can simplify:
= 4^(3 * -5) ⋅ 7^(-2 * -5)
= 4^(-15) ⋅ 7^10

Next, let's combine the expression outside the parentheses:
(4^(-15) ⋅ 7^10) / 7^9 ⋅ 4^(-13)

Using the rule a^m / a^n = a^(m-n):
= 4^(-15 - (-13)) ⋅ 7^(10 - 9)
= 4^(-15 + 13) ⋅ 7^1
= 4^(-2) ⋅ 7

Now, let's simplify the expression:
= 1/4^2 ⋅ 7
= 1/16 ⋅ 7
= 7/16

Therefore, the simplified fraction with no remaining exponents is 7/16.

Answer 36

Through the artist's use of cool colors, which of the following principles of design is most evident in this image?
(1 point)

radial balance

harmony

emphasis

proportion

Answer 37

Without access to the specific image, it is not possible for me to determine which principle of design is most evident. The principles of design can be subjective and depend on the specific artwork in question. It would be best to provide more context or description about the image to determine the correct answer.

Answer 38

A field of wheat is painted with various shades of green.

Green Wheat Fields, Auvers
by Vincent van Gogh

Courtesy National Gallery of Art, Washington

Answer 39

Based on the description of the image, the artist's use of cool colors, specifically various shades of green, suggests that the principle of design most evident in this image is harmony. The cohesive use of related colors creates a sense of unity and visual balance within the painting.

Answer 40

A color wheel shows primary, secondary, and tertiary colors.
Which element of art would this tool help an artist to understand?
(1 point)

line

shape

color

space

Answer 41

The element of art that a color wheel would help an artist to understand is color. The color wheel provides a visual representation of the color spectrum, including primary colors (red, blue, yellow), secondary colors (orange, green, purple), and tertiary colors (a combination of primary and secondary colors). It helps artists understand color relationships, color schemes, and how to mix and harmonize colors in their artwork.

Answer 42

A bowl of strawberries sits on a table. In the middle of the strawberries is a white flower.

Use the image to answer the question.
Which of the following principles is NOT represented in this work of art?
(1 point)

variety

pattern

emphasis

radial balance

Answer 43

Based on the provided description, the principle that is NOT represented in this work of art is radial balance. Radial balance refers to a type of balance in which elements radiate outward from a central point, creating a circular or radial arrangement. In the described image, the strawberries on the table and the white flower in the middle do not suggest a radial arrangement or symmetry. Therefore, the principle of radial balance is not represented in this artwork.

Answer 44

Thank you, Bot!

Answer 45

You're welcome! If you have any more questions, feel free to ask. I'm here to help!

Answer 46

Which of the following is an equivalent expression to 5^9⋅5^13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

1/5^4

1/625

5^4

5^9/5^−13

Answer 47

To find an equivalent expression with positive exponents, we can use the rule of integer exponents.

The expression 5^9⋅5^13 can be simplified by using the rule a^m ⋅ a^n = a^(m + n):

5^9⋅5^13 = 5^(9 + 13) = 5^22

Therefore, an equivalent expression to 5^9⋅5^13 with only positive exponents is 5^22.

Answer 48

Which of the following is an equivalent expression to 5^9⋅5^-13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

1/5^4

1/625

5^4

5^9/5^−13

Answer 49

To generate an equivalent expression with positive exponents, we can use the rules of integer exponents.

The expression 5^9⋅5^(-13) can be simplified using the rule a^m ⋅ a^n = a^(m + n):

5^9⋅5^(-13) = 5^(9 + (-13)) = 5^(-4)

To convert this to a positive exponent, we can use the rule a^(-n) = 1/a^n:

5^(-4) = 1/5^4

Therefore, an equivalent expression to 5^9⋅5^(-13) with only positive exponents is 1/5^4.

Answer 50

Which property of exponents was used to generate the equivalent expression 3^14 from 3^5/3^−9?(1 point)

only the Property of Negative Exponents

the Property of Negative Exponents and the Product Rule of Exponents

only the Product Rule of Exponents

only the Power Rule of Exponents

Answer 51

The Property of Negative Exponents was used to generate the equivalent expression 3^14 from 3^5/3^(-9).

Answer 52

Which of the following is an equivalent expression to 15^0 ⋅ 7^−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

7^2/(−4)^3

4^3/7^2

(−4)^3/7^2

1/7^2 ⋅ (−4)^−3

Answer 53

To find an equivalent expression with only positive exponents, we can use the rules of integer exponents.

The expression 15^0 ⋅ 7^(-2) ⋅ (-4)^(-3) can be simplified using the Property of Negative Exponents:

15^0 ⋅ 7^(-2) ⋅ (-4)^(-3) = 1 ⋅ 1/7^2 ⋅ 1/(-4)^3

To convert the negative exponents to positive exponents, we can use the rule a^(-n) = 1/a^n:

1 ⋅ 1/7^2 ⋅ 1/(-4)^3 = 1/7^2 ⋅ 1/(-4^3)

Therefore, among the given options, an equivalent expression to 15^0 ⋅ 7^(-2) ⋅ (-4)^(-3) with only positive exponents is 1/7^2 ⋅ (-4)^3.

Answer 54

Which of the following is an equivalent expression to 15^0 ⋅ 7^−2 (−4)^−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

7^2/(−4)^3

4^3/7^2

(−4)^3/7^2

Answer 55

To find an equivalent expression with only positive exponents, we can use the rules of integer exponents.

The expression 15^0 ⋅ 7^(-2) ⋅ (-4)^(-3) can be simplified using the Property of Negative Exponents:

15^0 ⋅ 7^(-2) ⋅ (-4)^(-3) = 1 ⋅ 1/7^2 ⋅ 1/(-4)^3

To convert the negative exponents to positive exponents, we can use the rule a^(-n) = 1/a^n:

1 ⋅ 1/7^2 ⋅ 1/(-4)^3 = 1/7^2 ⋅ 1/(-4^3)

Therefore, among the given options, the equivalent expression to 15^0

Answer 56

Which of the following is an equivalent expression to 15^0 ⋅ 7^−2 (−4)^−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

7^2/(−4)^3

4^3/7^2

(−4)^3/7^2

1/7^2 ⋅ (−4)^−3

Answer 57

Bot

Answer 58

Bot you do know that you were just helping @ur mom cheat right?