Section 8.2 Zero and Negative Exponents Objectives: Evaluate powers that have zero and negative exponents Graph exponential functions

Complete the table. Make a conjecture about how the value of an exponential expression (an expression containing an exponent) changes when you decrease the exponent by 1.

Properties of Zero and Negative Exponents Positive exponents are a notation for repeated multiplication Negative exponents are a notation for repeated division Negative exponents are used to indicate the reciprocal power of a positive exponent. Properties of Zero and Negative Exponents Zero as an Exponent: For every nonzero number Negative Exponent: For every nonzero number and integer

EX: Evaluate the exponential expression. 1. 2. 3. 4. 5. 6. 7. 8.

EX: Rewrite with positive exponents. 1. 2. 3. 4. 5. 6.

To graph the exponential function, make a table using integer values for x and plot the corresponding points and connect with a smooth curve. X -2 -1 1 2

Real-life problem Census figures showed that a town’s population can be modeled by , where t = 0 represents the year 2010. a) Estimate the population in the year 1999 b) Estimate the population in the year 2010

8.2 p. 459 14 – 44 evens, 58 – 60 all, 64, 72 – 81x3 24 questions