Download Section P.5 - Math Heals

Simplify Expressions Using the
Laws of Exponents
1. Simplify each of the following
expressions
1
4
2 2
11
4
2. Simplify each of the following
expressions
5
5
9
2
5
2
3. Simplify each of the following
expressions
7
3
5 5
2
5
4. Simplify each of the following
expressions
y
y
1
3
5
12
5. Simplify each of the following
expressions

16


7
12




6
7
6. Simplify each of the following
expressions

 25  5


1
3
11
3




2
7. Simplify each of the following
expressions

a b


5
2
1
3
 3
 a  b


10
3




8. Simplify each of the following
expressions


 36m n 

8 
 m 3 n 5 


1
4
1
2
9. Use rational exponents to
simplify each radical. Assume all
variables are positive.
12
6
25
10. Use rational exponents to
simplify each radical. Assume all
variables are positive.
10
36 x y
18
11. Use rational exponents to
simplify each radical. Assume all
variables are positive.
3
5
y
5
y
12. Use rational exponents to
simplify each radical. Assume all
variables are positive.
5
x
5
13. Use rational exponents to
simplify each radical. Assume all
variables are positive.
3
7  49
7
14.
Simplify
3
2
1
2
5 x  2 x (3 x  5)
by factoring out
x
1
2
15.
Simplify
1
3
2( x  3) (5 x  2)  9( x  3)
by factoring out
( x  3)
1
3
4
3