Do Now: Write each of the following expressions using exponents. Then use a calculator to find the value of the expression. 2•2•2•2•2 (-4)•(-4)•(-4) (-5)•(-5)

Negative Exponents and Zero Exponents

Reflect Talk to your partner: What is a general rule for the value of any number raised to the zero power: a0 =

Negative & Zero Exponents Simplify.

Negative Exponents You do NOT want to have negative exponents in your answer. An expression is NOT simplified when there is a negative exponent. Turn and Talk: Have partner 2 talk now. What is a general rule for the value of any number to a negative power? a-x =

Definition of Negative Exponent Negative & Zero Exponents Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

Definition of Negative Exponent Negative & Zero Exponents Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

Definition of Negative Exponent Negative & Zero Exponents Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

What if the negative exponent is in the denominator?

Negative & Zero Exponents A negative exponent is an inverse! Flip the number over to make the exponent positive! Simplify.

Negative & Zero Exponents Follow the Pattern! 1 10 10 -1 1 10 = 0.1 10 1 2 100 3 -2 1 10 1 100 = 0.01 1,000 10 2 4 10,000 -3 1 10 1 1000 = 0.001 10 5 100,000 3

Negative & Zero Exponents Negative Exponent:

Negative & Zero Exponents Simplify.

Negative & Zero Exponents Identity Property Why It Works 2 -2 3 3 x0 = 1 9 9 = 1 Any number to the zero power is ALWAYS ONE.

Powers of Ten # 4 1 10 10 -1 1 10 = 0.1 10 1 2 100 3 -2 1 10 1 100 = 0.01 1,000 10 2 4 10,000 -3 1 10 1 1000 = 0.001 10 5 100,000 3

Exit Ticket Journal: 6 + (4=3)0 Explain how you would simplify this expression using the order of operations.