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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 =.

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The Laws of Exponents

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  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!

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