A High School Algebra

Cover A High School Algebra
A High School Algebra
J W a Jacob William Albert Young
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355 356 A HIGH SCHOOL ALGEBRA 497. Law of Exponents in Division.
IL — = 0'"-'', if m>r.
a' For a'^ = a ■ a • a ■•' m factors, and aj' — a • a • a ••• r factors.
a^_ a • a ••' m factors 'a'" a ■ a '■• r factors = a • a ' a •'• m — r factors, canceling the r factors from both terms = a^-'', by definition of exponent.
ORAL EXERCISE
...S Divide 1. ^. 5. T. 9. ^. 13. ^.
a^ a^ 6^ X 2. 2!. 6. I^^. 10. ^. 14. ^. A^ (—a) 5^ V 3. ?L. 7. I^ll'. 11. I=^. 15. M^ 4. ?!. 8. MZ. 12. 5?. 16. ^.
22 (c66) a; r 498. Laws of Exponents for Powers.
in. (a"'y = a""'.
For (a"*)*" = a"^ • a"^ • a"^ "• to r factors = (a • a ••• to m factors) (a • a ••• to m factors) to r such parentheses = a ■ a • a '•- to mr factors = a'"'', by definition of exponent.
ORAL EXERCISES Apply this law to : 1.


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