Lesson 5.2

You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to solve. Recall that If the exponent is a positive integer, you can write the expression in expanded form.

 Use expanded form to review and generalize the properties of exponents.  Write each product in expanded form, and then rewrite it in exponential form.  Generalize your results

 Write the numerator and denominator of each quotient in expanded form.  Reduce by eliminating common factors, and then rewrite the factors that remain in exponential form.  Step 4 Generalize your results.

 Write each quotient in expanded form, reduce, and rewrite in exponential form.  Rewrite each quotient using the property you discovered in the previous step.  Generalize your results:

 Write several expressions in the form (a n ) m. Expand each expression, and then rewrite it in exponential form.  Generalize your results.  Write several expressions in the form (a·b) n. Don’t multiply a times b. Expand each expression, and then rewrite it in exponential form.  Generalize your results.  Show that a 0 = 1, using the properties you have discovered. Write at least two exponential expressions to support your explanation.

Example B