Elementary Algebra

Cover Elementary Algebra
Elementary Algebra
Elmer a Elmer Adelbert Lyman
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= a ^ + ^ = a.
.. CP = Va, since a* is one of the two equal factors of a.
Exponents 317 Similarly, a* a^ a* = a^+W _. A .
. -. A*=-v^a. (Why?) In general, a** = 1 \fa.
Again, c$ a% a$ = afr*** = a 2 .
... A* = #?. (Why ?) Similarly, a* a* - a* - a * - a^ = a + * + ^ = a.
. -. A*=^S (Why?) p In general, a = %/ap.
440. Stated in words we have : The numerator of a fractional exponent indicates a power and the de- nominator indicates a root.
- - Thus, 2a^ = 2v^; 3a^= S^aV^"; 8* = x/P or (v^8)* = 32
....
EXERCISE 441. TFrfte wiY^ radical signs, noting carefully ivhat is the base for each fractional exponent : 1- *. 5 /W\ f V3^y 6. A + 6*. 10 - 3 - 2 ^- 7. (a + 6)*. 11.
4. (3a)*6*. 8. A+26i 12.
Write with fractional exponents : 13. \/a2. 17. \/a + 6. 21. Va 2 - 6 2 .
14. V^. 18. A+-v/6. 22. 2Va+V2a.
15. 3^/a 2 . 19. 4-v / (a + 6) 2 . 23.
16. V2a6. 20. 3VaJ A/a 7 ! 24.
318 Exponents Find the values of the following : 25. 16*. (Extract the root first. ) 26. 4*; 8. 31. I-25*.
27. 27* ; 9i 32. 25* + 216*.


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