High School Math : Multiplying and Dividing Exponents

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Multiplying And Dividing Exponents

Simplify the following expression.

Possible Answers:

Correct answer:

Explanation:

When dividing with exponents, the exponent in the denominator is subtracted from the exponent in the numerator. For example: .

In our problem, each term can be treated in this manner. Remember that a negative exponent can be moved to the denominator.

Now, simplifly the numerals.

Example Question #101 : Algebra Ii

Simplify the following expression. 

 

Possible Answers:

Correct answer:

Explanation:

We are given: 

Recall that when we are multiplying exponents with the same base, we keep the base the same and add the exponents. 

Thus, we have .

Example Question #1 : Multiplying And Dividing Exponents

Simplify the following expression. 

 

Possible Answers:

Correct answer:

Explanation:

Recall that when we are dividing exponents with the same base, we keep the base the same and subtract the exponents. 

Thus, we have .

We also recall that for negative exponents,

.

Thus, .

Example Question #103 : Algebra Ii

Simplify the following exponent expression:

Possible Answers:

Correct answer:

Explanation:

Begin by rearranging the terms in the numerator and denominator so that the exponents are positive:

Multiply the exponents:

Simplify:

Example Question #104 : Algebra Ii

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

First simplify the second term, and then combine the two:

Example Question #105 : Algebra Ii

Solve for

Possible Answers:

Cannot be determined from the given information.

Correct answer:

Explanation:

Rewrite each side of the equation to only use a base 2:

The only way this equation can be true is if the exponents are equal.

So:

The  on each side cancel, and moving the to the left side, we get:

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