Dividing Exponents
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The document provides instructions for dividing terms with algebraic exponents. It explains that to divide algebraic exponent terms, one should write the division as a fraction and separate the numbers from the variables with exponents. Then, reduce the numerical fraction and use the exponent subtraction rule, which states that if the bases are the same, subtract the exponents. This allows one to simplify the algebraic exponent terms in the division. Several examples are shown applying these steps to divide various algebraic exponent terms.
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La prehistoria es el período desde la aparición del hombre en la Tierra hasta la invención de la escritura. Los paleontólogos descubrieron a los primeros humanos cerca de nuestra ciudad en Atapuerca, incluyendo a Miguelón, uno de los humanos prehistóricos que vivió allí.
Sharing economy: Bright and Dark [2015 GIS Slides Competition]
Some analysis on Sharing Economy and Collaborative Economy.
2015 Global Initiatives Symposium in Taiwan (GIS Taiwan)
U++ Innovation Competition
[More Information and personal perspectives]
Due to the limitation of pages and format, the slides only show my around 50% perspectives and experience.
Therefore, I write an additional note for reference on my Facebook.
投影片因為版面與頁數限制，大概只呈現約5成的看法與個人觀察，
因此將我的其他個人觀察與看法整理於下方的文章中：
https://www.facebook.com/notes/raymond-hou/979932002020080
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Dividing Exponents
- 2. 23 22 Rewrite as a Fraction = 23 Fully Expand the Powers out 22 = 2 x 2 x 2 and then cancel all identical 2 x 2 items in the top and bottom = 2
- 3. Let’s consider am an or am an If we have any base that is the same “a”, then we can skip expanding and cancelling the exponents “m’ and “n”, and use the fast track rule and SUBTRACT the Exponents am an = am - n This rule works for both letters and numbers
- 4. 23 22 Rewrite as a Fraction = 23 Use the Subtract Powers shortcut Rule 22 = 2 3 – 2 If Bases are the same, then subtract the Powers, which is the Exponents Divide Rule. = 21 = 2
- 5. k5 k3 Rewrite as a Fraction = k5 Use the Subtract Powers shortcut Rule k3 = k 5 – 3 If Bases are the same, then subtract the Powers, which is the Exponents Divide Rule. = k2
- 6. To Divide Algebra Exponents Terms, follow these steps: Write any question as a big Fraction Separate out Numbers and Algebra Exponents Reduce down the Numbers Fraction Apply the Exponents Subtraction Rule to same Bases Write Final Answer as a Fraction without x signs
- 7. 12w3 6w2 Rewrite as a Fraction = 12w3 Separate Numbers and Letters 6w2 = 12 x w3 Reduce down number Fraction 6 x w2 and use Powers Subtract Rule = 2 x w3 - 2 = 2w1 = 2w 2
- 8. 12a7 b5 16a2 b2 Rewrite as a Fraction = 12a7 b5 Separate Numbers & Letters 16a2 b2 = 12 x a7 x b5 Reduce down number Fraction 16 x a2 x b2 and use Powers Subtract Rule = 3 x a7 - 2 x b5 - 2 = 3 x a5 x b3 = 3a5 b3 4 4 4 3 4
- 9. -e2 h - 8eh Rewrite as a Fraction = -e2 h Write Numbers as Factors -8eh and Expand all Variables = - 1 x e2 x h Fill empty tops with 1’s - 8 x e1 x h Apply Subtract Rule = 1 x e2 - 1 x 1 = 1e = e 8 8 8
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