Go t It? 4. A population of insects triples every week. The number of insects is
modeled by the expression 5400 • 3W, where w is the number of weeks after
the population was measured. Evaluate the expression for w = -2 , w = 0,
and w = 1. What does each value of the expression represent in the situation?
Lesso n Ch eck
Do yo u k n o w H OW?
Simplify each expression.
1. 2- 5
2. m°
- 5s 2 rx
- ,-3
Evaluate each expression for a = 2 and b
- a3b~l
- 2 a~4b°
= -4.
Do yo u UN DERSTAN D? f & f PRA O TCES
- Vocabulary A positive exponent shows repeated
multiplication. What repeated operation does a
negative exponent show? - Error Analysis A student incorrectly simplified-a nb°
as shown below. Find and correct the student's error.
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
^ Practice Simplify each expression.
- 3 -2
MATHEMATICAL
PRA CTI CES
12.
15.
- 58 ,-1
10. (-4.25)°
13. ( —4)- 2
16. —12-1 - 1.5“2
Simplify each expression.
21. 4ab°
25.
q_2
n
- c~5d~7
33.^6 a -^1 c-3
d°
22. 4^x ‘ 23. 5x“ 4
26. AT4/ 0
Qv 2
27. s y -
- c~scf 3- 1. - ^ 32s- 3
- 2~3x 2 z~7 35. 12°t7M“ n
Se e Pr o b l e m 1.
11. (—5)-2
- 2-6
- \ 2 °
- (-5)-3
24.
28.
32.
36.
4b See Problem 2.
C 1
7 ab~ 2
3 w
7s
5 1~3
7s tOf—5
2 " 1 m 2
c
Po w erAlg eb ra.com
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| Lesson 7-1 Zero and Negat ive Exponent s^421
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