7.1 Zero and Negative Exponents

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# 7.1 Zero and Negative Exponents - PowerPoint PPT Presentation

7.1 Zero and Negative Exponents. Standard: SWBAT understand and use the rules of exponents. Mini Quiz 32. Write in Standard Notation: 3.78 x 10 -4 Write in Scientific Notation: 3480.21 Write in Scientific Notation: 13.8 x 10 3. Quick Review.

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### 7.1 Zero and Negative Exponents

Standard: SWBAT understand and use the rules of exponents

Mini Quiz 32
• Write in Standard Notation: 3.78 x 10-4
• Write in Scientific Notation: 3480.21
• Write in Scientific Notation: 13.8 x 103
Quick Review

1. How do you change from Scientific Notation to Standard Notation?

Look at the exponent; positive – zeros at the end, negative – zeros in front

2. How do you change from Standard Notation to Scientific Notation?

Look at the number; big (>1) – positive exponent; small (<1) – negative exponent

Overview
• Simplify exponents to the zero power
• Simplify negative exponents
Zero Exponents

27 8 1

9 4 1

3 2 1

Any number evaluated to the “0” exponent is equal to ____.

(However, this does not apply to 00, can you figure why?)

1

1 1 1

Negative Exponents

What is the rule to evaluating a number to a negative exponent?

How can you apply this rule to x-1?

1 1 1

Flip It! (and the exponent becomes positive)

Simplifying Exponents

Simplifying means:

No Zero or Negative Exponents!

Practice Problems

1. 2-2

¼

2. (-2)0

1

3. 5-x

1/5x

4. (½)-1

2

5. 5(2-1)

5/2

6. 2x-2y-3

2/y3x2

More Practice

7. x-5

1/x5

8.

x5/2

9. x4y-7

x4/y7

10.

x3y/9

Wrap Up

Power of Zero

• Anything to the zero power is…

Negative Exponents

• To change a negative exponent to a positive exponent, you need to…

HW: P. 331 #1-45 EOO, 95-107 EOO

DLUQ: How do you change a negative exponent to a positive exponent?

T2L

Simplify

1.

2.

3. Explain in complete sentences how you simplify zero and negative exponents.