Exponent, n Power, Power,64164 Copy the table and discuss any patterns you see. Use the patterns to complete the table. Write non integers as fractions in simplest form.

What you need to use this rule   Zero exponent To get answer  Answer is always 1

Example 1 Example 2Example 3Example 4

What you need to use this rule   exponent is negative To get answer  Move the base and exponent  If it is upstairs (numerator) it moves downstairs (denominator)  If it is downstairs, it moves upstairs  Exponent becomes positive

Example 2Example 3 Example 1

 When you have a fraction raised to a negative exponent, flip the fraction and make the exponent positive. Example 4Example 5

Example 6#7#8 Evaluate the exponential expression. Write fractions in simplest form.

Example 9 Rewrite the expression with positive exponents #10

You started a savings account in The balance A is modeled by, where t = 0 represents the year What is the balance in the account in 1990? In 2010? (round answer to 2 decimal places) In 1990, t = -10 since 1990 is 10 years before 2000 In 2010, t = 10 since 2010 is 10 years after 2000

 For the properties learned today why can’t a = 0? For the properties learned today a cannot equal 0, because_____________________.  What “trick” do you have to remember when you have negative exponents? The “trick” to remember when I have a negative exponent is__________________.  Describe the error in the following example: The error in is __________________.