Second Course in Algebra

Cover Second Course in Algebra
Second Course in Algebra
Webster Wells
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14. (-125)--«- 3. 3-1 7. 9-6-2. 11^ (-27)-l 15. (-32)-*.
4. 7^. 8. 100-5-2. 12. 8rt Write with positive exponents : 16. A?h-\ 18. 2a-\ 20. Za-^h\ 17. {2a)-\ 19. (^a)-%\ 21. 2-Vn-^.
22. 4a-%-3. 23. (2 a)^ . (3 &)-2.
122. Negative Exponents in Fractions.
Example 1. ?:%^ _ ^^ ^ S/J . ^ ^ ?(^'. Z'^ 1 ar 1 ir z^ This example makes it clear that a factor may be trans- ferred from one term of a fraction to the other provided the sign of its exponent be changed.
146 ALGEBRA Example 2. ^^^T^^^. W-H ty^z
...^ Example 3. ^ = 3 a^ftc-^d-^.
EXERCISE 66 Write with positive exponents : 1- ^?- 3. ^ .
2r° 5.
6 m^n-3 2. 2«.
6-« 4. -^ .
5 -(2 2/)-^ 6.
3 a-3&2 2 c-^d* jWrite without any denominator : 0. 3f.
11 ^a'^', 13.
7 x-'^y z^ ... Ft 13. '««-^ 14.
7.
15.
16.
cc^y ^ 5a'b-i 6 c-*d« 2 c-'di 4 am?
2 6^71-4 ' Historical Note. In the note following § 14, credit is given to Herigone for having grasped the idea of an exponent, and for introducing a rather good notation. As early as 1484, another French mathematician, Chuquet, had had some idea of an exponent and had written expressions involving a form of negative exponent and also the zero exponent.


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