Chapter 5 e X P O N e N T S a N D r O O T S 97

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

still struggling

be careful, Properties 1 and 2 are easily confused.

4432 ⋅ == 4432 +^53 and( 44 )^23 ==()^264

?

Property 4 a^0 = 1

Any nonzero number raised to the zero power is one. We will see that this is
true by Property 2 and the fact that any nonzero number over itself is one.

1 16

16

4

4

44

2

2

====^22 −^0 From this we see that 4^0 must be 1.

PRACTICE

Rewrite using a single exponent.

1. x
   x

8

2 =

2. ()x^32 =


3. yy^73 =


4. xx^10 =


5. x
   x

3

2 =

6. ()y^55 =

✔SOLUTIONS

1. x
   x

xx

8

2

==^82 −^6

2. ()xx^32 ==()^32 () x^6


3. yy^73 ==yy^73 +^10


4. xx xx^10 ==^1011 xx^01 + =^11


5. x
   x

xxx

3

2

==^32 −^1 =

6. ()yy^55 ==()()^55 y^25

PRACTICE

Rewrite using a single exponent.

8

PRACTICE

Rewrite using a single exponent.