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Date: _____________________
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Algebra 1
Assignment 34: Rational Exponents
Directions: Re-write each exponential expression in radical form. (Just re-write…don’t simplify)
2
1.
1
𝑥5
2.
1
3
(3𝑥 )2
3.
𝑥2
4.
(4𝑥 )3
Directions: Re-write each radical expression in exponential form.
5.
5
√𝑥 4
6.
3
√𝑥 2
7.
√𝑥 7
8.
4
√8
Directions: Simplify. Re-write in radical form last, and simplify any roots if possible.
9.
(𝑥
1
6 )8
10.
(𝑥
1
1
10 )5
11.
13. Which of the following is equivalent to
A.
𝑥
𝑎−𝑏−𝑐
B.
𝑥
A.
𝑦 𝑎𝑐
B.
𝑥 𝑏 ∙𝑥 𝑐
12.
36− 2
D.
𝑥 𝑎+𝑏𝑐
?
𝑎−(𝑏+𝑐)
14. Which of the following is equivalent to
2𝑐 𝑥 𝑐 𝑧 𝑏𝑐
𝑥𝑎
1
(25𝑥 10 )2
C.
𝑥
𝑎
𝑏𝑐
(2𝑥𝑦 −𝑎 𝑧 𝑏 )𝑐 ?
2𝑥𝑦 𝑐−𝑎 𝑧 𝑏𝑐
C.
2𝑐𝑥 𝑐 𝑦 −𝑎+𝑐 𝑧 𝑏+𝑐
D.
2𝑐 𝑥 𝑐 𝑦 𝑎𝑐 𝑧 𝑏𝑐
15. A rectangle has a length of 3𝑥 2 inches and a width of 2𝑥 3 𝑦 inches. Which of the following represents
the area in square inches of the rectangle?
A. 6𝑥 6 𝑦
B. 6𝑥 5 𝑦
C. 5𝑥 5 𝑦
D. 6𝑥 2 + 4𝑥 3 𝑦
16. A rectangular prism has a length of 𝑥 2 𝑦 inches, a width of 𝑥𝑦 3 𝑧 2 inches, and a height of 𝑧 4 inches.
Which of the following represents the volume in cubic inches of the rectangular prism? (Volume = 𝑙𝑤ℎ)
A.
𝑥 2𝑦3𝑧8
B.
𝑥 3𝑦4𝑧8
C.
𝑥 3𝑦4𝑧6
D.
𝑥 2𝑦3𝑧6