Simplify. Express all answers using positive exponents. ( 1 point each item)
1. 125
1
3 Answer: ___________________________

2. ( 100 . 9 )
1
2 Answer: ___________________________

3. (
1
8
)
–
1
2

Answer: ___________________________

4. (8
−
2
3 . 8
1
3)
3

Answer: ___________________________

Solve for x.
5. 7
x
= 343 Answer: ___________________________
6. 2
x
=
1
32

Answer: ___________________________
7. 9 4x – 2 = 729 Answer: ___________________________
8. 64
x
3 =
1
16

Answer: ___________________________
Transform the given radical form to exponential form and exponential form to radical form.
9. (30x
2
)
3
4 Answer: ___________________________

10. (
9x
2
4y3
)
−
1
2

Answer: ___________________________

11. √[9x
2y
2]
3
3

Answer: ___________________________

12. - 24 (
2m4
6y4
)
2
4

Answer: ___________________________