Download ( 14 )x - 4 36 81 x x + + x 12 ( 10) - 32( 1) x - -

Review of Sections 10.1 – 10.4
Section 10.1
Simplify. Variables may represent any real number, so remember to use absolute-value notation when necessary.
1.
(14 x) 2
2.
4 x 2  36 x  81
3.
5
x 20
4.
12
(10)12
5.
5
32( x  1)5
Section 10.2
Use rational exponents to simplify. Do not use fraction exponents in the final answer. Write answers using radical
notaion.
1.
8
 3x 
6 4
2.
3.

4
4.
5
4
2
x3
x2 y5
x
x

20
Section 10.3
Multiply and simplify. Assume that no radicands were formed by raising negative numbers to even powers.
50 xy  4 xy 2
1.
2.
3
6 x7 y  3 9 x 4 y12
3.
4
4 x 2 y 3 z 3  4 8x 4 yz 6
4.
3 5 x7  9 15 x3
Section 10.4
Rationalize each denominator. Assume that all variables represent positive numbers.
3x
20
1.
2.
3.
4
5 y2
4
27 x
3
48 x8 y 7
4.
5.
2
x2 y
3 x 2 y10
3
15 y 2
3
24 xy