**Rule 2: To divide identical bases, subtract the exponents.**

**Problem 3:** Simplify .

**Answer:** or

**Solution:** At first glance you might be tempted to say that you can do nothing with the problem because the bases are different. However, you can manipulate the numbers so that you can in fact simplify the above expression.

Recall that 40 can be written as 8 times 5. Rewrite the expression with that
substitution. can be written

However the can again be written in a different way. is equivalent to

Is the answer written better than as ? No, just different.

You can check your answer with your calculator.

**If you would like to work another problem, click on
Next Problem.**

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour