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# Dividing Exponents

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How to divide Algebra Exponent expressions.

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### Dividing Exponents

1. 1. Image Source: http://squidoo.com
2. 2. 2322Rewrite as a Fraction= 23Fully Expand the Powers out22= 2 x 2 x 2 and then cancel all identical2 x 2 items in the top and bottom= 2
3. 3. Let’s consider amanor amanIf we have any base that is the same “a”,then we can skip expanding and cancellingthe exponents “m’ and “n”, and use the fasttrack rule and SUBTRACT the Exponentsaman= am - nThis rule works for both letters and numbers
4. 4. 2322Rewrite as a Fraction= 23Use the Subtract Powers shortcut Rule22= 2 3 – 2If Bases are the same, then subtract thePowers, which is the Exponents Divide Rule.= 21= 2
5. 5. k5k3Rewrite as a Fraction= k5Use the Subtract Powers shortcut Rulek3= k 5 – 3If Bases are the same, then subtract thePowers, which is the Exponents Divide Rule.= k2
6. 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. 7. 12w36w2Rewrite as a Fraction= 12w3Separate Numbers and Letters6w2= 12 x w3Reduce down number Fraction6 x w2and use Powers Subtract Rule= 2 x w3 - 2= 2w1= 2w2
8. 8. 12a7b516a2b2Rewrite as a Fraction= 12a7b5Separate Numbers & Letters16a2b2= 12 x a7x b5Reduce down number Fraction16 x a2x b2and use Powers Subtract Rule= 3 x a7 - 2x b5 - 2= 3 x a5x b3= 3a5b34 4 434
9. 9. -e2h - 8eh Rewrite as a Fraction= -e2h Write Numbers as Factors-8eh and Expand all Variables= - 1 x e2x h Fill empty tops with 1’s- 8 x e1x h Apply Subtract Rule= 1 x e2 - 1x 1 = 1e = e8 8 8