Algebra II : Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #32 : Distributing Exponents (Power Rule)

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When dealing exponents being raised by a power, we multiply the exponents and keep the base.

Example Question #33 : Distributing Exponents (Power Rule)

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When dealing with exponents being raised by another exponent, we multiply the powers and keep the base the same.

Example Question #34 : Distributing Exponents (Power Rule)

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

When dealing with exponents being raised by another exponent, we multiply the powers and keep the base the same.

Example Question #35 : Distributing Exponents (Power Rule)

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When an exponent is raised by another power, we will multiply the exponents and keep the base the same.

Therefore:

Example Question #36 : Distributing Exponents (Power Rule)

Evaluate:

 

Possible Answers:

Correct answer:

Explanation:

When an exponent is raised by another power, we will multiply the exponents and keep the base the same.

Therefore:

Example Question #38 : Distributing Exponents (Power Rule)

Simplify:

Possible Answers:

Correct answer:

Explanation:

To start, we must examine the first term. Note that we are squaring a sum, so we cannot simply distribute the power of 2 to each term. We must take the sum times the sum:

The second term, however, is a product, in which case we can distribute the power:

Adding the two together, we get

Example Question #37 : Distributing Exponents (Power Rule)

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When an exponent is raised by another exponent, we just multiply the exponents and keep the base the same.

Example Question #38 : Distributing Exponents (Power Rule)

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When an exponent is raised by another exponent, we just multiply the exponents and keep the base the same.

Example Question #41 : Distributing Exponents (Power Rule)

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When an exponent is raised by another exponent, we just multiply the exponents and keep the base the same.

Example Question #42 : Distributing Exponents (Power Rule)

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When an exponent is raised by another exponent, we just multiply the exponents and keep the base the same.

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