7 3 multiplication properties of exponents
This presentation is the property of its rightful owner.
Sponsored Links
1 / 15

7.3 Multiplication Properties of Exponents PowerPoint PPT Presentation


  • 128 Views
  • Uploaded on
  • Presentation posted in: General

7.3 Multiplication Properties of Exponents. Pg. 460. Simplifying Exponential Expressions. There are No Negative Exponents The same base does not appear more than once In a Product or Quotient No Powers are raised to Powers No Products are raised to Powers No Quotients are Raised to Powers

Download Presentation

7.3 Multiplication Properties of Exponents

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


7 3 multiplication properties of exponents

7.3 Multiplication Properties of Exponents

Pg. 460


Simplifying exponential expressions

Simplifying Exponential Expressions

  • There are No Negative Exponents

  • The same base does not appear more than once

    • In a Product or Quotient

  • No Powers are raised to Powers

  • No Products are raised to Powers

  • No Quotients are Raised to Powers

  • Numerical Coefficients in a quotient do not have any common factor other than “1”

    ExamplesNon Examples


Product of powers property

Product of Powers Property

  • The product of two powers with the same base (Value or Variable) equals that base raised to the sum of the exponents

    • Rule

  • If they have the exact (same) base, add the exponents

    • REMEMBER

      • Any constant or variable without an exponent, has an exponent with the value of “1”

      • EXAMPLES


Examples product of powers

Examples, product of powers


Scientific notation example

Scientific Notation Example

  • Light from the sun travels at about 1.86 x 105miles per second. It takes about 500 seconds for the light to reach the earth. Find the Distance from the Sun to the Earth and write answer in Scientific Notation.

    • We can not multiply as is

      • We must change 500 to scientific Notation

      • Then use the distance formula


Power of a power property

Power of a Power Property

  • A Power raised to another power equals that base raised to the product of the exponents

    • Rule

  • Remember that if no exponent is written the exponent is “1”

  • Example


Examples power of a power

Examples, power of a power


Examples power of a product

Examples, power of a product


7 4 division properties of exponents

7.4 Division Properties of Exponents

Pg. 467

Quotient of Powers Property

Positive Power of a Quotient Property

Negative Power of a Quotient Property


Quotient of powers property

Quotient of Powers Property

  • The quotient of two non-zero powers with the same base equals the base raised to the difference of the exponents

  • Rule

  • Example


Examples quotient of powers property

Examples, quotient of powers property


Dividing scientific notation

Dividing Scientific Notation


Positive powers of a quotient

Positive Powers of a Quotient

  • A quotient raised to a positive power equals the quotient of each base raised to that power

  • Examples


Negative power of a quotient

Negative Power of a Quotient

  • A quotient raised to a negative power equals the reciprocal of the quotient raised to the opposite (positive) power

  • Examples


Homework

Homework

  • 7.3 – 7.4 Book Problems

    • Pg. 464, 18 – 52 Every Other Even

    • Pg. 471, 18 – 44 Every Other Even

  • Interim Review Due Tuesday


  • Login