Simplify without a calculator (you should get an integer)
1. 272/3
3. (-64)2/3
5. 324/5
2. 363/2
4. (-125)5/3
6. 810.25
Simplify the radical expression
7.
11.
8.
12.
9.
13.
10.
Use exponent properties to simplify the following expressions. DO NOT rationalize!
1. (42/3•53/4)3
2. (33/2•33)1/3
3. (72/3)3/5)3)
3
4.
x4
7
x8
5.
(9 g )1/ 2
12 g 1/ 3
7
2
6. (5m )(2m)3
3
a3b 8
7. 2 2 2
a (3b )
8.
9. -7(x5y2z-6)0
10.
11.
Complete the following function operations.
Let f(x) = 2x– 3
g(x) = (x – 1)3 + 2
h(x) =
m(x) = x2 – 4
k(x) =
d(x) = 2x2 – 2x + 3
1. m(x) – d(x)
2. d(x) + m(x)
3. f(x)m(x)
4. f(x)d(x)
5. g(h(x))
6. h(g(x))
7. k(m(x))
8. m(k(x))
9. g(f(2))
10. f(g(4))
11. m(k(5))
12. h(d(1))
Find the inverse function of the following functions.
1. f(x) = 3x – 8
2. g(x) = x2 – 10
3. h(x) = (x + 3)2
4. f(x) = -(x – 1)3
5. g(x) = 3(4 + 2x)4 + 8
6. h(x) =
7. f(x) =
8. g(x) =
9. h(x) =
Graph the following radical functions.
1.
5.
2.
6.
3.
4.
7.
8.
Solve the following radical equations.
1. 8
2. 9 –
+ 7 = 31
=4
3. (5x + 14)2/3 + 10 = 6
4. (x + 3)3 + 6 = – 21
6.
7.
8.
9.
10.
5. 0.5(x – 3)0.75 + 6 = 9