Precal Matters
WS 1.1: Exponents
Name_________________________________________ Date________________________ Period______
Worksheet 1.1—Exponents
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I. Multiple Choice: Show all work on MC questions. No work, No credit.
_____ 1. Which of the following is equivalent to x3/4 ?
1
(A) 4/3
(B) x 4/3
(C) x 4/3
x
1
2
_____ 2. What is the value of
(A) 16
_____ 4. Simplify
3x 2 y 5
(A) 81x8 y 20
4
4
3
x4
(E)
4
x3
4
?
(B) 2
(C) 8
_____ 3. Which of the following is the simplified form of
(A) x
(D)
(B) x 2
(D) 8
x6
x
2
(C) x3
,x
(E) 16
0?
(D) x 4
(E) x8
using only positive exponents.
(B)
x8 y 20
81
(C)
1
81x8 y 20
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(D)
1
81x y
8 20
(E)
81
x y
8 20
Precal Matters
WS 1.1: Exponents
_____ 5. Evaluate 6251/4
(A) 5
_____ 6. Evaluate
(B) 5
1
5
(D)
1
5
(E) DNE, “Does Not Exist”
3/2
36
25
(A)
_____ 7. If x
(C)
2 and y
(A) 0
6
5
(B)
125
216
(C)
216
125
(D)
3 , what is the value of the expression
(B)
c2 1
c
(C) 2c
(D)
5
6
(E)
cx
cy
cy
, for c
cx
c2 1
c
31/3
is equivalent to which of the following?
3 2/3
1
(A) 1
(B) 3
(C) 3
(D) 3
3
216
125
(E)
c
1 c2
_____ 8. The expression
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(E)
0.
1
3
Precal Matters
WS 1.1: Exponents
II. Short answer
9. Find any and all mistakes, explain what they are, then work the problem correctly
(a)
4ab5
7
(b) 3x 2 y1/2 7 x10 y8
28a 7b12
21x 20 y 4
10. Simplify each the expressions as much as possible (if possible). For each term, you should have only
one representative factor of each type. Practice writing your final answer without any fractional or
negative exponents.
(a)
6
y x
(d)
4
x 3 y2
4
3
1
2
5
x x x 2
1
10
x
2
(b)
(e)
4a 3b
3
2a 2b 4
3b 2
a 2b 3
4
2 5 6
x y
2x
x
4
3
(c) 2x y x
19
1
3
3
y y 4
3
y
11. Provide a counterexample for the claim that
your work.
1
a 2 b2
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(f)
x2 y
3
9 x
3
y5
x3 y 5
a b . Clearly define you values and show