1 / 18

The Laws of Exponents

The Laws of Exponents. Exponential Form:. exponent. base. Laws of Exponents:. Multiplying Dividing Power to a Power Zero Power Negative Exponents. 1. Multiplying Exponents. 3 2 × 3 3 = ( 4 3 )(4 4 ) = 6 5 · 6 = Now try these: ( 8 5 )(3 2 ) = 2 3 × 3 2 =.

shani
Télécharger la présentation

The Laws 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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Laws of Exponents

  2. Exponential Form: exponent base

  3. Laws of Exponents: • Multiplying • Dividing • Power to a Power • Zero Power • Negative Exponents

  4. 1. Multiplying Exponents 32 × 33 = (43)(44) = 65· 6 = Now try these: (85)(32) = 23 × 32 =

  5. Multiplying Exponents What “law” or rule can you come up with for what happens when we multiply exponents?

  6. Multiplying Exponents Law:If you are multiplying exponents with the same base, KEEP the BASE & ADDthe EXPONENTS! So, I get it! When you multiply Powers, you add the exponents!

  7. 2. Dividing Exponents(Quotient of Powers Law) = = 35÷ 34 = Now try these: = =

  8. Dividing Exponents What “law” or rule can you come up with for what happens when we divide exponents?

  9. 2. Dividing Exponents Law: When dividing exponents with the same base, KEEP the BASE & SUBTRACTthe EXPONENTS! So, I get it! When you divide Powers, you subtract the exponents!

  10. Now let’s take a look at Brain Pop and then take the quiz to see if you’re understanding multiplying and dividing exponents!

  11. 3. Raising a Power to a Power (23)3 = (54)2 = (162)3

  12. Power to a Power What “law” or rule can you come up with for what happens when we raise a power to a power?

  13. 3. Power to a Power:If you are raising a Power to a power, you multiplythe exponents! So, when I take a Power to a power, I multiply the exponents

  14. 4. Zero Power = = 35 ÷ 35 =

  15. 4. Zero Law of Exponents:Any base powered by zero exponent equals one. So zero factors of a base equals 1. That makes sense! Every power has a coefficient of 1.

  16. Negative Exponents: http://www.virtualnerd.com/pre-algebra/factors-fractions-exponents/exponent-properties/negative-zero-exponents/negative-exponent-definition

  17. 5. Negative Exponents:If the base is powered by the negative exponent, then the base becomes reciprocal with the positive exponent. So, when I have a Negative Exponent, I switch the base to its reciprocal with a Positive Exponent. Ha Ha! If the base with the negative exponent is in the denominator, it moves to the numerator to lose its negative sign!

More Related