# Algebra II : Multiplying and Dividing Exponents

## Example Questions

← Previous 1 3 4 5 6 7 8 9 18 19

### Example Question #3 : Simplifying Polynomials

Simplify. Possible Answers:     Correct answer: Explanation:

Put the negative exponent on the bottom so that you have which simplifies further to .

### Example Question #1 : Multiplying And Dividing Exponents

Evaluate the following expression Possible Answers:     Correct answer: Explanation: We can also solve this problem using a different apporach Remember that any number raised to the 0th power equals 1

### Example Question #2 : Multiplying And Dividing Exponents

Simplify the following expression Possible Answers:    Correct answer: Explanation: Alternatively, ### Example Question #3 : Multiplying And Dividing Exponents

Simplify the following expression Possible Answers:    Correct answer: Explanation: Remember that any number raised to the 0th power equals 1

### Example Question #4 : Multiplying And Dividing Exponents

Evaluate the following expression Possible Answers:     Correct answer: Explanation: Alternatively, ### Example Question #5 : Multiplying And Dividing Exponents

Simplify: Possible Answers:     Correct answer: Explanation: Step 1: Simplify the exponents using the division of exponents rule (subtract exponents in demoninator from exponents in numerator).  Step 2: Reduce the fraction ### Example Question #6 : Multiplying And Dividing Exponents

Simplify: Possible Answers:     Correct answer: Explanation:

Follow the division of exponents rule.  Subract the exponents in the denominator from the exponents in the numerator.

### Example Question #7 : Multiplying And Dividing Exponents

Rewrite using a single exponent. Possible Answers:     Correct answer: Explanation:

Based on the property for dividing exponents: In this problem, a is equal to , so ### Example Question #8 : Multiplying And Dividing Exponents

Simplify: Possible Answers:     Correct answer: Explanation:

Simplify: Step 1: Use the division of exponents rule, and subtract the exponents in the denominator from the exponents in the numerator Step 2: Move negative exponents in the numerator to the denominator Step 3: Simplify ### Example Question #9 : Multiplying And Dividing Exponents

Simplify: Possible Answers:     Correct answer: Explanation:

Step 1: Use the division of exponents rule.  Subtract the exponents in the numerator from the exponents in the denominator.  Step 2: Represent the negative exponents as positive ones by moving them to the denominator: ← Previous 1 3 4 5 6 7 8 9 18 19

### All Algebra II Resources 