Algebra Demystified 2nd Ed

118 algebra De mystif ieD

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

In addition to the two root properties that we have been using, we will use

the property a

b

a

b

n

n

=n to simplify the fraction.

48

25

48

25

43

5

43

5

43

5

3322

2

xxxx^22 xxxx

== ==

PRACTICE

Simplify the expression.

1.^354 x^5 =
2. 50 xy^3 =
3.^8
9

=

4.^432 xy^75 =
5.^4031

4

(^36)
()x
x
− =
✔SOLUTIONS

1.^354 xx^5 ==^33233 xx^23323333 xx^2 = 323 x^2
2. 50 xy^32 == 52 xx^22 yx 522 xy= 52 xxy
3.^8
9

8

9

22

3

22

3

22

3

22

== ==

4.^432 xy^75 ==^42244 xx^34 yy^42244 xy^4444 xy^3 = 22 xy^4 xy^3
5.^40314031253131

4

(^36)
3 4
3 6
3 33
3
()x () ()()
x
x
x
xx
xx
− = − = −−
3 33
(^23333)
3 33 3
23153123 153 31
= ()()()()xx−−= −−
xx
xx
xx
==^23 −−^1531
3
2
()()xx
x
PRACTICE
Simplify the expression.
PRACTICE
Simplify the expression.