Algebra II : Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #72 : Distributing Exponents (Power Rule)

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Simplify the inner quantity first.

When powers of the same base are multiplied together, the powers may be added.

The expression becomes:  

When the quantity of a power is raised to a certain power, the powers will need to be multiplied.

The answer is:  

Example Question #71 : Distributing Exponents (Power Rule)

Solve:  

Possible Answers:

Correct answer:

Explanation:

The term can be simplified by distributing the power with the term inside the parentheses.

The answer is:  

Example Question #74 : Distributing Exponents (Power Rule)

Simplify the exponents:  

Possible Answers:

Correct answer:

Explanation:

Simplify the terms in the bracket first.  When a quantity of a power is raised to the power, the exponents may be multiplied.

Repeat the process for the term in the bracket.

The answer is:  

Example Question #75 : Distributing Exponents (Power Rule)

Solve the following:  

Possible Answers:

Correct answer:

Explanation:

Simplify the terms inside the parentheses.

The quantity will be multiplied by itself ten times.  This means that the powers here can be multiplied.

The answer is:  

Example Question #76 : Distributing Exponents (Power Rule)

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Rewrite the second term so that it has the common base.

Simplify the power outside of the parentheses by multiplication.

Since these exponents with the same bases are multiplied, the exponents can be added.

The answer is:  

Example Question #77 : Distributing Exponents (Power Rule)

Simplify:  

Possible Answers:

Correct answer:

Explanation:

In order to simplify this, we will first need to simplify the inner term of the parentheses.

Rewrite the nine with base three.

The expression becomes:

Since the common bases of a certain power are multiplied, the exponents can be added.

Now that we have an exponent outside of a quantity, we can multiply the exponents together.

The answer is:  

Example Question #78 : Distributing Exponents (Power Rule)

Solve:  

Possible Answers:

Correct answer:

Explanation:

This expression can be simplified by either writing out the quantities four time, or simply by just multiplying the powers together.  Either method will give similar answers.

Do not change the base at any point in the calculation.

The answer is:  

Example Question #79 : Distributing Exponents (Power Rule)

Simplify:  

Possible Answers:

Correct answer:

Explanation:

In order to solve this, use the distribution rule for exponents.

Multiply the powers together.

The answer is:  

Example Question #591 : Exponents

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #592 : Exponents

Simplify: 

Possible Answers:

Correct answer:

Explanation:

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

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