Bell Quiz 5-1

1Section 5-1

10 pts

possible

4 pts

Simplify.

2 pts 1. (–2)3

2. 52 – 34

3. Evaluate –5xy when x = 4 and y = –34 pts

5-1 Chapter 5:

2Section 5-1

Chapter 5: Polynomials and Polynomial Functions

Key Concept

Properties of ExponentsProperties of ExponentsProperties of ExponentsProperties of Exponents

3Section 5-1

Property Name Property Example

Product of Powers

(Same base → Add Powers)

Power of a Power

(Power to a Power)

Power of a Product

Negative Exponent

Zero Exponent

Quotient of Powers

Power of a Quotient

nmnmaaa

+=⋅

( ) mnnmaa =

( ) mmmbaab =

0 ,1

≠=−

aa

am

m

0 , ≠=−

aaa

a nm

n

m

0 , ≠=

b

b

a

b

am

mm

0 ,10≠= aa

255555 2)1(313===⋅

−+−

( ) ( ) 729333 62323===

⋅

( ) 129681163232 444=⋅=⋅=⋅

49

1

7

17

2

2==

−

( ) 216666

6 363

6

3

===−−−

−

−

49

16

7

4

7

42

22

==

( ) 1890

=−

EXAMPLE 1 Evaluate numerical expressions

a. (–4 25)2 b.115

118

–1

4Section 5-1

EXAMPLE 1 Evaluate numerical expressions

a. (–4 25)2

= 16 25 2

Power of a product property

Power of a power property

Simplify and evaluate power.

= 118 – 5

Negative exponent property

Quotient of powers property

Simplify and evaluate power.= 113 = 1331

= 16 210 = 16,384

b.115

118

–1

= (– 4)2 (25)2

118

115=

GUIDED PRACTICE for Example 1

Evaluate the expression.

1. (42 )3 2. (–8)(–8)3 3. 2 3

9

6Section 5-1

4096 4096 8

729

EXAMPLE 2 Use scientific notation in real life

7Section 5-1

SKIPSKIPSKIPSKIP

EXAMPLE 3 Simplify expressions

a. b–4b6b7 b.r–2 –3

s3c. 16m4n –5

2n–5

8Section 5-1

EXAMPLE 3 Simplify expressions

a. b–4b6b7 Product of powers property

b.r–2 –3

s3

( r –2 )–3

( s3 )–3= Power of a quotient property

= r 6

s–9Power of a power property

= r6s9 Negative exponent property

c. 16m4n –5

2n–5= 8m4n –5 – (–5) Quotient of powers property

= 8m4n0= 8m4 Zero exponent property

= b–4 + 6 + 7 = b9

EXAMPLE 4 Standardized Test Practice

10Section 5-1

EXAMPLE 4 Standardized Test Practice

SOLUTION

(x–3y3)2

x5y6=

(x–3)2(y3)2

x5y6

x –6y6

x5y6=

Power of a product property

Power of a power property

EXAMPLE 4

= x –6 – 5y6 – 6 Quotient of powers property

= x–11y0 Simplify exponents.

Zero exponent property

= 1x11

Negative exponent property

= x–11 1

The correct answer is B. ANSWER

Standardized Test Practice

GUIDED PRACTICE for Examples 3 and 4

Simplify the expression.

4. x–6x5 x35. (7y2z5)(y–4z–1)

13Section 5-1

6. s 3 2

t–4 7. x4y–2 3

x3y6

x27z4

y2

s6t8 x3

y24

HOMEWORK

Sec 5-1 (pg 333)

3-12 every 3rd, 24-36 every 3rd

14Section 5-1