Division Properties of Exponents

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Presentation transcript:

Division Properties of Exponents Simplify expressions involving quotients of monomials , and to simplify expressions containing negative exponents.

Exploration: Rule: You can cancel pieces that are the same on the top and bottom of a fraction because when you divide them they equal 1!! 1 1 1

Exploration: Rule: When dividing exponents: keep the base the same and subtract the exponents! *If you get a negative exponent it goes on the bottom!!

Simplify. m4n5 2. 5a3b7 3. 8x5y4 mn2 10a2b8 2x7y 4y3 x2 1a 2b m3n3

Simplify. 4. x3y4z5 5. 2a4b3c5 x5y6z7 20a5b2c5 1 x2 y2 z2 1 b 10a

6. 6x4y6z2 7. a3b6c3 8. 4a8b3c2__ 3x2y10z5 a5b6c7 -28a5b-6c2 -1a3b9 7 Simplify. 6. 6x4y6z2 7. a3b6c3 8. 4a8b3c2__ 3x2y10z5 a5b6c7 -28a5b-6c2 -1a3b9 7 2 x2 y4 z3 1 a2 c4

ORDER OF OPERATIONS! PEMDAS If there are multiple things going on…. Make sure to use…. ORDER OF OPERATIONS! PEMDAS

(3s2t3)2 10. (5p2)4 (4st2)3 (2p3)2 11. 12d2ef2 2 2de2f2 9s4t6 64s3t6 Simplify. (3s2t3)2 10. (5p2)4 (4st2)3 (2p3)2 11. 12d2ef2 2 2de2f2 9s4t6 64s3t6 6de2 2 e = 625p8 4p5 = = 9s 64 36e2 625p3 4