WorksheetsAlgebra Exponent (Ch 7) Review
Total questions: 33
Worksheet time: 25mins
Name
Class
Date
1.
(4x5)2
Identify the variable
Identify the variable
a)
4
b)
x
c)
5
d)
2
2.
(4x5)2
Identify the coefficient
Identify the coefficient
a)
4
b)
x
c)
5
d)
2
3.
(4x5)2
Identify an exponent
Identify an exponent
a)
4
b)
x
c)
2
d)
s
4.
The Zero as an Exponent Property tells us that any nonzero number (a) raised to a power of zero equals
(Ex: a ≠ 0, a0= ?)
(Ex: a ≠ 0, a0= ?)
a)
0
b)
1
c)
a
5.
The Negative Exponent Property tells us that any nonzero number (a) raised to a power below zero equals
(Ex: a ≠ 0 and integer n,
a-n= ?)
(Ex: a ≠ 0 and integer n,
a-n= ?)
a)
na
b)
1/an
c)
a/n
d)
n/a
6.
00= ?
Zero to the zero power is equal to
Zero to the zero power is equal to
a)
-1
b)
0
c)
1
d)
undefined
7.
a)
A
b)
B
c)
C
d)
D
8.
(1252x12y7z5)0
a)
15625
b)
1
c)
0
d)
x
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
According to exponent rules, when we multiply the same base we _______ the exponents.
Ex: a ≠ 0, m,n rational numbers; am(an) = am?n
Ex: a ≠ 0, m,n rational numbers; am(an) = am?n
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
14.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x14
d)
3x14
15.
253/2
a)
125
b)
25
c)
5
d)
none of these
16.
a)
A) 18a1/3b5/4
b)
B) 6a2/3b
c)
C) 18a2/3b5/4
d)
D) 2a1/33b5/4
17.
The Raising a Power to a Power Property states that with any nonzero number a and any rational numbers m and n, the following is true:
When a power is raised to a power, ______ the exponents.
Ex: (am)n= a?
When a power is raised to a power, ______ the exponents.
Ex: (am)n= a?
a)
? = m*n
multiply the exponents
multiply the exponents
b)
? = m/n
divide the exponents
divide the exponents
c)
? = m-n
subtract the exponents
subtract the exponents
d)
? = m+n
add the exponents
add the exponents
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
Write the following in scientific notation:
(2 x 10-10)3
(2 x 10-10)3
a)
2 x 10-30
b)
8 x 10-7
c)
2 x 10-7
d)
8 x 10-30
21.
Simplify:
(-5x)2 + 5x2
(-5x)2 + 5x2
a)
30x2
b)
0
c)
1
d)
-20x2
22.
(y-4)?= y1/2
a)
? = 1/8
b)
? = 8
c)
? = -1/8
d)
? = -8
23.
Solve for x.
32x = 94
32x = 94
a)
x = 1/2
b)
x = 2
c)
x = 4
d)
x = 8
24.
To raise a product to a power, raise each factor to the power and _______.
Ex: (ab)n = ______ , a ≠ 0, b ≠ 0, and n is a rational number
Ex: (ab)n = ______ , a ≠ 0, b ≠ 0, and n is a rational number
a)
add
an + bn
an + bn
b)
multiply
anbn
anbn
25.
To divide powers with the same base, ______ the exponents.
Ex: a ≠ 0, m and n rational numbers
am/an = am?n
Ex: a ≠ 0, m and n rational numbers
am/an = am?n
a)
subtract
? = -
? = -
b)
add
? = +
? = +
c)
multiply
? = ×
? = ×
d)
divide
? = ÷
? = ÷
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
When raising a quotient to a power, _________________
Ex: (a/b)m = ______
Ex: (a/b)m = ______
a)
raise the numerator the power and solve or simplify
b)
raise the denominator to the power and solve or simplify
c)
raise the numerator and denominator to the power and solve or simplify
d)
leave it as is
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
Calculate:
∜81
∜81
a)
9
b)
3
c)
2
32.
Write in radical form:
z3/4
z3/4
a)
∛z4
b)
∜z3
c)
√3z4
d)
√4z3
33.
a)
A
b)
B
c)
C
d)
D
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