Algebra II : Multiplying and Dividing Exponents

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

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 #7 : 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 #8 : 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
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: