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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
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