Algebra Demystified 2nd Ed

Chapter 5 e X P O N e N T S a N D r O O T S 105

DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5

14. (2x^3 + 4)−6(2x^3 + 4)^4 =


15. ((x − 8)^3 )−1 =


16. x
    x

+

−









=

7 −

23

1

✔SOLUTIONS

1. 6 1
   6

− (^1) =

2. ()xy
   xy

21

2

− =^1

3.^5
8

8

5

^1







=

−

4. ()xx
   x

31 3

3

−−==^1

5. x
   x

xxx

2

1

21 21 3

−

==−−() + =

6. x^4 x−3 = x^4 +(−3) = x4−3 = x^1 = x


7. xx xx
   x

811811 3

3

−+==()−−=^1

8. ()xx()() x
   x

−− (^42) == 42 − (^8) =
8
1

9. y
   y

yyy

y

−

−

(^7) ==−−−−+−==
2
72 72 5
5
()^1

10. x
    x

xx

x

− −− −

===

5

3

53 8

8

1

11. ()
    ()

12 5 1

12 5

2

x−=x− 2

−

12. ()6^1
    6

x^1

x

− =

13. ()
    ()

(^32) () ()()()
32
32 32 32
4
1
x 41 41 5
x
− xxx
−
− =− =− =−−− +

14. ()()()()
    (

2424 24 24 1

24

3634 36432

xx++=+ =+xx= x (^3) +
−−+−
))^2