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Lesson 13.6  Skills Practice
page 5
Name_________________________________________________________ Date__________________________
12. a.
b.
( 5 )( ​x​​)
60​x2​ ​ ___
60 ​x​2​
____
5 ​​   ​   ​​__
​   ​ 
 
​   ​  ​
5​x8​ ​
8
c.
60​x​ ​ ___
60 ​x​ ​
____
5 ​​   ​   ​​__
​   ​ 
 
​   ​  ​
x​ ​
60 ​x​ ​
 ​  
​5 ​ ​   ​  ​​ ​   ​  ​
(​ ​ 60​
5​x​ ​ ) ( 5 )(​x​ ​)
( 5 )( ​x​​)
2
2
2
5​x8​ ​
____ 
8
8
2
___  __ 
8
5 ​(12)(x​822​)
5 ​(12)(x​218​)
5 ​(12)(x​228​)
5 ​(12)(x​6​)
5 ​(12)(x​10​)
5 ​(12)(x​26​)
5 ​12x​6​
5 ​12x​10​
12
5 ___
​  6 ​ 
​x​ ​
The correct solution is c.
13. a.
b.
​​(5x​ ​)​ ​5 ​(5)​ ​​​(x​ ​)​ ​
2 3
3
2 3
c.
​​(5x​ ​)​ ​5 ​(5)​ ​​​(x​ ​)​ ​
2 3
3
2 3
​​(5x​2​)3​ ​5 ​(5)​3​​​(x​2​)3​ ​
3
5 ​(125)(x​23​)
5 ​(125)(x​213​)
5 (125)(x​2​ ​)
5 ​(125)(x​6​)
5 ​(125)(x​5​)
5 ​(125)(x​8​)
5 ​125x​6​
5 ​125x​5​
5 ​125x​8​
The correct solution is a.
14. a.
​​(4y​ ​)​ ​5 ​(4)​ ​​​( y​ ​)​ ​
© 2011 Carnegie Learning
c.
b.
23 3
3
23 3
​​(4y​ ​)​ ​5 ​(4)​ ​​​( y​ ​)​ ​
23 3
3
23 3
​​(4y​23​)3​ ​5 ​(4)​3​​​( y​23​)3​ ​
5 ​(64)( y​2313​)
5 ​(64)( y​233​)
5 ​(64)( y​2323​)
5 ​(64)( y​0​)
5 ​(64)( y​29​)
5 ​(64)( y​26​)
5 (64)(1)
 ​ 
5 ___
​ 64
y9
64 ​ ​
5 ​ ​ ___
y​6​ 
5 64
The correct solution is b.
Chapter 13      Skills Practice      •      917
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