Lesson 5.2

34 4 4 4

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

3 4 5 12 2 52  2 x  x 10 1  0

  =______ m na a

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.

155 8

2 6 5

0.944 x

4 x 0.94

m

n

a______

a

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:

3 5 3

4 7 8

2 4

2 4 xx

1______

na

Write several expressions in the form (an)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 a0 = 1, using the properties you have

discovered. Write at least two exponential expressions to support your explanation.