Algebra II : Multiplying and Dividing Exponents

Example Questions

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Example Question #1 : Simplifying Exponents

Simplify.

Explanation:

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

Example Question #2 : Simplifying Exponents

Evaluate the following expression

Explanation:

We can also solve this problem using a different apporach

Remember that any number raised to the 0th power equals 1

Example Question #3 : Simplifying Exponents

Simplify the following expression

Explanation:

Alternatively,

Example Question #4 : Simplifying Exponents

Simplify the following expression

Explanation:

Remember that any number raised to the 0th power equals 1

Example Question #5 : Simplifying Exponents

Evaluate the following expression

Explanation:

Alternatively,

Example Question #6 : Simplifying Exponents

Simplify:

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 #7 : Simplifying Exponents

Simplify:

Explanation:

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

Example Question #8 : Simplifying Exponents

Rewrite using a single exponent.

Explanation:

Based on the property for dividing exponents:

In this problem, a is equal to , so

Example Question #9 : Simplifying Exponents

Simplify:

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

Simplify: