Name: Period:

Laws of Exponents: Negative ExponentsExamples:

For any nonzero numberraised to a negative

exponent, rewrite only that Reciprocal of x —2

base and negative exponentas its reciprocal to make the

exponent positive.

Practice:Simplify each expression using the appropriate rule. To check your answer, you can

write the problem in expanded form and simplify.

2 x-3 25 9+-2 3+-V3+—10-lox-25

-Inc v y -3

sx3

-(9+-10 13±3

Name keN

Lesson Master

SKILLS Objectives A and BIn 1 and 2, rewrite without negative exponents.

1. —8.1w -4z -2 -7.1

Answer page

Questions on SPUR ObjectivesSee pages 521—523 for objectives.

Ops q-In 3 and 4, rewrite: a. without fractions; b. without negative exponents.a6b-4

3. 24m-5n7a9b2 4.

a-3b MY) 30a. a.

3b. b.

In 5-10, give the answer as a simple fraction 7-

5. 6.( 12r

Iff(x) = x -2, what is f (—5)?

9. Order the following numbers from least to greatest.

-2

({) , (-2) (-5), 5-2,

5 -L ) (5

-2

)

10. a. Write the expression in expanded form.

b. Simplify the expression.

Objective G

11. Use the Quotient of Powers Property with the NegativeExponent Property to find the value of x if} = B.

12. Use the Power of a Power Property with the NegativeExponent Property to find the value of x if = a6 o

8

400 Algebra

Name

8-4B Lesson Master

Objectives A and BIn 1 and 2, rewrite without negative exponents.

Answer Page

Questions on SPUR ObjectivesSee pages 521—523 for objectives.

2. 3a 2b-5

In 3-8, rewrite: a. without fractions; b. without negative exponents.32616c2

(Q-h)-3

70h4j-Zk3 7010k*

—56m-6n-1

8m2n6

In 9—14, give the ans er as a sim le fraction.

9. 4-3 10. 9-2

11. 12.

13. 14. (75) g

15. Order the following numbers from least to greatest.

34

-2 36, (0 -4, 1

Algebra 401

I-u Lesson o — q answec

Name

page 2

PROPERTIES Objective GIn 16-24, use the properties of negative exponents to find the value of x.

16.

r-2sr18. 1

20. 2-3 •

2h-9 —1

3h1622.

1617.

19.

21.2-3w4 ¯

23. -14fr4k2x =

14

j4k10

25. Justin simplified and he got h. Explain the error he made in

simplifying the fraction.

exp. neg l

26. Multiple Choice. Which expression can be simplified to E!?

402 Algebr