116 algebra De mystif ieD

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

EXAMPLES

Simplify the expression.

27

We can write 27 as the product of a square and something else: 27 = 32 · 3.

(^27) == 3321 332 = 33
32 xx^32 == 2222121 xx 22222 22 xx=⋅ 22 xx= 42 x
8
9
8
9
22
9
22
3
22
3
21 2
== ==
(^3625) xy^54 == (^35531) xx^32 yy^3135533 xy^3333 xy^2 = 55 xy (^3) xy^2
()()()()()()x−=xxx−−−=−xx−−x

(^469466644146644446)
(()()xx−− 664 xx−=−− 66 ()^24 x 6
PRACTICE
Simplify the expression.

1.^3 x^7 =
2. x^10 =
3.^316 xy^75 =
4.^5 ()41x−=^8
5. 25 ()x+= 42
6.^4 xy^96 =
7. x
y

100

50 200 =

✔SOLUTIONS

1.^3 x^7 ==^3 xxx^3313 xxx^33331 ==xx^3 xx^23 x
2. xx^10 ==^55 xx()^52 =x^5

EXAMPLES

Simplify the expression.

EXAMPLES

Simplify the expression.

PRACTICE

Simplify the expression.

PRACTICE

Simplify the expression.