Unit 7
Review HW
Advanced Algebra
Name:
Date:
NO CALCULATOR!!!
I Can …
Convert from radical form to exponential form.
Convert from exponential form to radical form.
Simplify radical and/or exponential expressions.
#1 – 2: Convert.
1.) Convert to radical form.
(3ab )
−
2.) Convert to exponential form.
3
4
5
−5a5b 15c 16
#3 – 6: Simplify.
5
5
4.) ( −64 ) 6
3.) −64 6
5.) ( −27 )
−
2
3
6.) 343
−
2
3
I can simplify using the properties of exponents:
<product of powers property
<power of a product property
< zero power property
<quotient of powers property
< negative exponents
<power of a power property
<power of a quotient property
#7 – 12: Simplify.
4
3
7.) a • a
1
3
2
⎛ 4 2⎞
x y ⎟
10.) ⎜
4
⎜
⎟
⎝ 4z 3 ⎠
8.)
x2
3
x5
−
4
5 5
9.) ⎛⎜ x 8 ⎞⎟
⎝ ⎠
3
2
11.)
3
216x 12y 3z 9
12.)
3
6 10 2
(81a b c )
8
I can…
Simplify radicals without a remainder.
Simplify radicals with a variable remainder.
Simplify radicals with a number remainder.
#13 – 18: Simplify.
13.)
4
81a 28b 24
14.)
16.)
5
64(x + 4)19
17.)
3
81a 4b 10 • 3 9a 6b 4
4
243 + 4 48
3
64x 27 y 39
15.)
121x 12y 5z 11
18.) 34 9a5b 2c 3 • 54 27a 2b 4c
I can…
Add radicals.
Subtract radicals.
Multiply radicals.
#19 – 24: Simplify.
19.)
3
54 + 3 16
20.)
22.)
4
32 − 34 162 + 7 4 128
23.)
5
64 + 55 486 + 25 1024
21.) 6 3 24 + 3 108 − 4 3 16
24.) (2 6 + 5 3)(2 − 3 2)