Question 1

Use the rules of exponents to simplify the expression.

Accepted Answer

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B)    
C)    
D)    
E)    
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E)

Question 2

Use the rules of exponents to simplify the expression.

Accepted Answer

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Question 3

Perform the indicated operations and simplify.

Accepted Answer

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Question 4

Evaluate the following expression if it represents a real number.

Accepted Answer

A)  243 
B)  2.40822 
C)  3486784401 
D)  81 
E)  3.94822 
A)  243 
B)  2.40822 
C)  3486784401 
D)  81 
E)  3.94822

Question 5

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . A quake measuring 8.5 on the Richter scale would be severe. Express the intensity of such a quake in exponential and radical form.

Accepted Answer

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Question 6

Simplify the expression so that it contains only positive exponents

Accepted Answer

A)  1 
B)    
C)    
D)    
E)    
A)  1 
B)    
C)    
D)    
E)

Question 7

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Accepted Answer

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E)

Question 8

Use the rules of exponents to simplify the expression.

Accepted Answer

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B)    
C)    
D)    
E)    
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B)    
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E)

Question 9

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to . Express using radical notation when .

Accepted Answer

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B)    
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D)    
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Question 10

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . Find the intensity of a quake measuring 6.5 rounded to the nearest integer.

Accepted Answer

A)  3,162,278 
B)  134,627,433 
C)  1,778 
D)  11,603 
E)  42 
A)  3,162,278 
B)  134,627,433 
C)  1,778 
D)  11,603 
E)  42

Question 11

Use the rules of exponents to simplify the expression.

Accepted Answer

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B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

Accepted Answer

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Question 13

Compute and simplify so that only positive exponents remain.

Accepted Answer

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B)    
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D)    
E)

Question 14

Simplify the expression so that it contains only positive exponents

Accepted Answer

A)  1 
B)    
C)    
D)    
E)    
A)  1 
B)    
C)    
D)    
E)

Question 15

Evaluate the following expression if it represents a real number.

Accepted Answer

A)  61.546691 
B)  14348907 
C)  -531441 
D)  -61.546691 
E)  not a real number 
A)  61.546691 
B)  14348907 
C)  -531441 
D)  -61.546691 
E)  not a real number

Question 16

Rationalize the denominator and then simplify.

Accepted Answer

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Question 17

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Accepted Answer

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B)    
C)    
D)    
E)    
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B)    
C)    
D)    
E)

Question 18

Evaluate the following expression if it represents a real number.

Accepted Answer

A)  0.001372 
B)  729 
C)  -0.001372 
D)  6561 
E)  not a real number 
A)  0.001372 
B)  729 
C)  -0.001372 
D)  6561 
E)  not a real number

Question 19

Use a calculator to approximate the indicated power. Round your answer to three decimal places.

Accepted Answer

A)  -54.872 
B)  54.872 
C)  14.440 
D)  208.514 
E)  -14.440 
A)  -54.872 
B)  54.872 
C)  14.440 
D)  208.514 
E)  -14.440

Question 20

Simplify the expression so that it contains only positive exponents

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Use the rules of exponents to simplify the expression.

Use the rules of exponents to simplify the expression.

Perform the indicated operations and simplify.

Evaluate the following expression if it represents a real number.

Simplify the expression so that it contains only positive exponents

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Use the rules of exponents to simplify the expression.

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to . Express using radical notation when .

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . Find the intensity of a quake measuring 6.5 rounded to the nearest integer.

Use the rules of exponents to simplify the expression.

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

Compute and simplify so that only positive exponents remain.

Simplify the expression so that it contains only positive exponents

Evaluate the following expression if it represents a real number.

Rationalize the denominator and then simplify.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Evaluate the following expression if it represents a real number.

Use a calculator to approximate the indicated power. Round your answer to three decimal places.

Simplify the expression so that it contains only positive exponents

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Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

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Exam 15: Algebraic Concepts 4

Use the rules of exponents to simplify the expression.

Use the rules of exponents to simplify the expression.

Perform the indicated operations and simplify.

Evaluate the following expression if it represents a real number.

Simplify the expression so that it contains only positive exponents

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Use the rules of exponents to simplify the expression.

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to . Express using radical notation when .

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . Find the intensity of a quake measuring 6.5 rounded to the nearest integer.

Use the rules of exponents to simplify the expression.

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

Compute and simplify so that only positive exponents remain.

Simplify the expression so that it contains only positive exponents

Evaluate the following expression if it represents a real number.

Rationalize the denominator and then simplify.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Evaluate the following expression if it represents a real number.

Use a calculator to approximate the indicated power. Round your answer to three decimal places.

Simplify the expression so that it contains only positive exponents

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 5

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