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Algebra II & Trigonometry
A2.A.27
Date _______________________________________
Equations with Fractional/Negative Exponents WS
Solve exponential equations with and without common bases
In 1 – 4, find the value of a for which each expression is equal to x.
 1
1.  x 2 
 
 
a
 3
2.  x 4 
 
 
a
 3 
4.  x 5 




 
3. x
6 a
In 5 – 16, solve each equation and check. All variables represent positive numbers.
5.
1
2
x
8. y
11.
7
2
4
x3
14. 2x
6.
9
 1  15

1
2
3
1
3
x
9. a

12. y
5
1
4

15. 2x
2
3
2

 2  10
1
4
3 4
7.
2
x3
10. b
4

1
2

1
3
13.
4
2x 3
 162
16.
2
4x 3
 5  20
a