98 algebra De mystif ieD

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

Exponent Properties and Algebraic Expressions

Exponent properties also work with algebraic expressions.

EXAMPLES

Rewrite using a single exponent.

(x + 3)^2 (x + 3)^4 = (x + 3)^2 +^4 = (x + 3)^6

[(xx+= 11 )]^3553 ()()+= 11 ()^51 x+ 115

()

()

(^34) ()()
34
37 34
7
5
x 75 2
x
− xx
−
=− =−−
still struggling
be careful not to write ()34x−^2 as ()34x^22 −. We will see later that (3x – 4)^2 is
9 x^2 – 24x + 16.

?

PRACTICE

Rewrite using a single exponent.

1. ()51
   51

23

2

xx

xx

++

++

=

2. ()
   ()

7

7

9

3

x

x

=

3. ()25x−=^0


4. ()()xx++ 1111 6 =


5. (1xx^22 −−)( 1)^3 =


6. (( 16 x−= 4 ))^52

EXAMPLES

Rewrite using a single exponent.

EXAMPLES

Rewrite using a single exponent.

PRACTICE

Rewrite using a single exponent.

PRACTICE

Rewrite using a single exponent.