Precalculus Skill Builders Vol 1 Solutions
Precalculus Skill Builders Vol 1 Solutions
Precalculus Skill Builders Vol 1 Solutions
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2. Laws of Exponents<br />
Example:<br />
Solution:<br />
Simplify using the laws of exponents.<br />
"<br />
#<br />
$<br />
2x !3 y 2<br />
xy 3<br />
!4<br />
%<br />
&<br />
' = 2 !4 (x !3!1 ) !4 (y 2!3 ) !4 = 2 !4 x 16 y 4 = x16 y 4<br />
16<br />
Simplify the following expressions.<br />
1. (x 3 )(x 4 )<br />
[ x 7 ]<br />
2. (y 2 )(y 3 )<br />
[ y 5 ]<br />
3.<br />
a 9<br />
a 6<br />
[ a 3 ]<br />
4.<br />
p 7<br />
p 2<br />
[ p 5 ]<br />
5. (x 3 ) 3<br />
[ x 9 ]<br />
7. !<br />
"(z 2 ) 3<br />
[ z 12 ]<br />
#<br />
$<br />
2<br />
9. !<br />
"(z 2 )(x 4 )#<br />
$<br />
[ z 6 x 12 ]<br />
3<br />
6. (y 2 ) 5<br />
[ y 10 ]<br />
8. !<br />
"(b 3 ) 3 #<br />
$<br />
[ b 27 ]<br />
3<br />
10. "<br />
#(y !2 )(y 3 ) $<br />
%<br />
[ 1 ]<br />
0<br />
11. "<br />
#(a !3 )(a 5 ) $<br />
%<br />
[ a 6 ]<br />
3<br />
12.<br />
x<br />
( 4 x ) 2<br />
[ x 6 ]<br />
13. (x !3 )(x 3 ) + (y 4 )(y !4 )<br />
[ 2 ]<br />
14. (2x) 3 (3x) 2<br />
[ 72x 5 ]<br />
15.<br />
(5x) 2 (2x) 2<br />
5x<br />
[ 20x 3 ]<br />
16.<br />
! (3x) 3 (2x) 2<br />
4 x<br />
"#<br />
[ 729x 8 ]<br />
2<br />
$<br />
%&<br />
<strong>Skill</strong> <strong>Builders</strong>
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