Algebra II : Understanding Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #13 : Simple Exponents

Evaluate:

Possible Answers:

Correct answer:

Explanation:

 is expanded to .

We will simply multiply the values in order to get the answer:

Example Question #3344 : Algebra Ii

Expand:

Possible Answers:

Correct answer:

Explanation:

When exponents are negative, we can express them usinf the following format:  

in this formula,  is a positive exponent and  is the base.

We can express  as , which is also the same as: 

 

Example Question #3345 : Algebra Ii

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

When exponents are negative, we can express them usinf the following format:  

in this formula,  is a positive exponent and  is the base.

Therefore:

Example Question #4 : Expressions & Equations

Simplify:

Possible Answers:

Correct answer:

Explanation:

When adding exponents, we first need to factor common terms.

Let's start by factoring out the following:

Factor.

Example Question #5 : Expressions & Equations

Expand:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

Example Question #6 : Expressions & Equations

Expand:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

Example Question #7 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

 is expanded to .

The product is .

Example Question #8 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

 is expanded to .

The product is .

Example Question #7 : Expressions & Equations

Expand: 

Possible Answers:

Correct answer:

Explanation:

 To expand the exponent, we just multiply the base out by the exponent present.

Example Question #21 : Simple Exponents

Which of the following is the same as ?

Possible Answers:

Correct answer:

Explanation:

 is expanded out to . This is also the same as  or  which is the correct answer. 

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