Presentation is loading. Please wait.

Presentation is loading. Please wait.

Describe the pattern in the following example. Division Rule - When dividing two powers with the same base, subtract the exponents.

Published byValerie Robyn White Modified over 8 years ago

Similar presentations

Presentation on theme: "Describe the pattern in the following example. Division Rule - When dividing two powers with the same base, subtract the exponents."— Presentation transcript:

1

2 Describe the pattern in the following example. Division Rule - When dividing two powers with the same base, subtract the exponents

3

4 Describe the pattern in the following example Power of Quotient Rule - The power of a quotient is equal to the power of the numerator divided by the power of the denominator

5

6 Rule – The power of any non-zero number to the zero power is equal to one! (Don’t believe me… watch this!!!) Or….

7 Therefore…

8 For any non-zero number a and any integer n, a - n is the reciprocal of a n.

9

Download ppt "Describe the pattern in the following example. Division Rule - When dividing two powers with the same base, subtract the exponents."

Similar presentations

Exponents exponent power base.

Exponents exponent power base.
Definition of Let b represent any real number and n represent a positive integer. Then, n factors of b.

Definition of Let b represent any real number and n represent a positive integer. Then, n factors of b.
Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.

Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.
Vocabulary Chapter 7. For every nonzero number a, a⁰ =

Vocabulary Chapter 7. For every nonzero number a, a⁰ =
The Laws of Exponents Animated floating petals (Difficult)

The Laws of Exponents Animated floating petals (Difficult)
Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 17, 23-26, 28-31, 44, 51, 52, 57, 58, 65, 66, 67, 69, 70, 71, 75, 77, 79, 81, 84, 86, 89, 90, 92,

Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 17, 23-26, 28-31, 44, 51, 52, 57, 58, 65, 66, 67, 69, 70, 71, 75, 77, 79, 81, 84, 86, 89, 90, 92,
Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent.

Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent.
The Laws of Exponents.

The Laws of Exponents.
Division with Exponents & Negative and Zero Exponents.

Division with Exponents & Negative and Zero Exponents.
4.2 Integer Exponents and the Quotient Rule

4.2 Integer Exponents and the Quotient Rule
Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To.

Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To.
Exponents Power base exponent 53 53 means 3 factors of 5 or 5 x 5 x 5.

Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
Dividing Monomials Chapter 8-2 S. Calahan 2008.  To divide two powers that have the same base, subtract the exponents. b 15 ÷ b 7 = b 15-7 = b 8 Quotient.

Dividing Monomials Chapter 8-2 S. Calahan  To divide two powers that have the same base, subtract the exponents. b 15 ÷ b 7 = b 15-7 = b 8 Quotient.
Dividing Monomials: The Quotient Rule and Integer Exponents.

Dividing Monomials: The Quotient Rule and Integer Exponents.
Which is equivalent to x 15 ? a. (x 3 )(x 5 ) b. (x 3 ) 5 c. (3x)(5x) d. (x 2 )(x 4 )/x 21.

Which is equivalent to x 15 ? a. (x 3 )(x 5 ) b. (x 3 ) 5 c. (3x)(5x) d. (x 2 )(x 4 )/x 21.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:
Slide 1- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Slide 1- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Exponents base exponent 53 53 means 3 factors of 5 or 5 x 5 x 5.

Exponents base exponent means 3 factors of 5 or 5 x 5 x 5.
Laws of Exponents. 5 2 = 5 x 5 =25 3 4 =3 x 3 x 3 x 3 = 81 7 3 = 7 x 7 x 7 = 343.

Laws of Exponents. 5 2 = 5 x 5 = =3 x 3 x 3 x 3 = = 7 x 7 x 7 = 343.
Warm-up, 3/28 Compute: 1. 2 x 2 x 2 x 2 = 2. 3 x 3 x 3 = 3. 2 x 2 x 3 x 3 x 3 = 4. 5 x 5 x 2 x 2 = 5. 2 x 2 x 4 =

Warm-up, 3/28 Compute: 1. 2 x 2 x 2 x 2 = 2. 3 x 3 x 3 = 3. 2 x 2 x 3 x 3 x 3 = 4. 5 x 5 x 2 x 2 = 5. 2 x 2 x 4 =

Similar presentations

Ads by Google