1. 10 0 2. 15 0 3. (.5) 0 4. ( ⅔ ) 0 5. (-.8) 0 6. (-5) 0 Aim: How do we evaluate and simplify...

1. 100

2. 150

3. (.5)0

4. (⅔)0

5. (-.8)0

6. (-5)0

Aim: How do we evaluate and simplify expressions with zero

and Negative Exponents?

Use the calculator to evaluate each of the following.

Describe what you observe.

Do Now (4 minutes)

Agenda: 2/10/11Do Now•Evaluating numerical exponents

Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents

Group work•Past Regents Questions

Share-out•Discussion

Summary

1. 100

2. 150

3. (.5)0

4. (⅔)0

5. (-.8)0

6. (-5)0



Any number, term or expression raised to the

power of zero is one.

= 1= 1= 1

= 1= 1= 1

Example:x0y0=1(6x)0=1





Summary

Power: An expression in the form bx.

Base: In an expression of the form bx, the base is b.

Exponent: In an expression of the form bx, the exponent is x. It tells you how many times the base is used in repeated multiplication.

Vocabulary

36BasePowerExponent /

Aim: How do we evaluate and simplify expressions with zero and Negative Exponents?





Summary

You get rid of Negative Exponents by flipping the exponent like reciprocals. Move the number or variable raised to a negative power to the other side (of the fraction). The exponent will then be positive.







Summary

34 x3

4

x

22

1 12

2 4

Why didn’t the 4 move?It isn’t raised to a negative power (would be in parenthesis).

Examples

3

14x

Aim: How do we evaluate and simplify expressions with zero and Negative Exponents?





Summary

If the negative exponent is on bottom, move to the top.

3

12d



3

2d

32d





Summary

TRY THESE ON YOUR OWN!3 4 6

7

1 8

1.5 2.

1 33. 4.7 6

x y







Summary

GROUPWORKComplete Past

Regents Questions







Summary



Share-out





Summary

Compare and contrast evaluating numbers with Negative Exponents and

finding the slope of perpendicular lines.

summary







Summary

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