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Math Problems
Algebra 2
Multiplication with rational exponents
Which of the following is an integer?
\newline
Choices:
\newline
(A)
9
8
\frac{9}{8}
8
9
\newline
(B)
2.857
2.857
2.857
\newline
(C)
10
7
\frac{10}{7}
7
10
\newline
(D)
0
0
0
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Which of the following is an integer?
\newline
Choices:
\newline
(A)
9
5
\frac{9}{5}
5
9
\newline
(B)
9
8
\frac{9}{8}
8
9
\newline
(C)
10
3
\frac{10}{3}
3
10
\newline
(D)
8
8
8
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Which decimal is equivalent to
\newline
(
13
)
/
(
11
)
(13)/(11)
(
13
)
/
(
11
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1.
1
‾
1.\overline{1}
1.
1
\newline
(B)
1.
181
‾
1.\overline{181}
1.
181
\newline
(C)
1.
18
‾
1.\overline{18}
1.
18
\newline
(D)
1.1
8
‾
1.1\overline{8}
1.1
8
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Evaluate the expression.
\newline
−
11
+
9
(
−
7
+
3
)
-11+9(-7+3)
−
11
+
9
(
−
7
+
3
)
\newline
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Select the expressions that are equivalent to
7
(
d
+
4
)
7(d + 4)
7
(
d
+
4
)
.
\newline
Multi-select Choices:
\newline
(A)
(
4
+
d
)
7
(4 + d)7
(
4
+
d
)
7
\newline
(B)
28
d
+
7
28d + 7
28
d
+
7
\newline
(C)
(
d
+
4
)
7
(d + 4)7
(
d
+
4
)
7
\newline
(D)
7
d
+
28
7d + 28
7
d
+
28
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(
6
n
3
⋅
4
n
3
5
n
−
2
)
−
1
\left(\frac{6 n^{3} \cdot 4 n^{3}}{5 n^{-2}}\right)^{-1}
(
5
n
−
2
6
n
3
⋅
4
n
3
)
−
1
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Write the answer in proper scientific notation:
\newline
6
x
1
0
−
7
0.0004
\frac{6 x 10^{-7}}{0.0004}
0.0004
6
x
1
0
−
7
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To solve the division problem, multiplyby the reciprocal of the divisor.
\newline
1
9
÷
3
=
1
9
×
1
[
?
]
\frac{1}{9} \div 3=\frac{1}{9} \times \frac{1}{[?]}
9
1
÷
3
=
9
1
×
[
?]
1
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Simplify and find the value of
\newline
(
18
)
1
3
×
(
768
)
1
3
(18)^{\frac{1}{3}} \times (768)^{\frac{1}{3}}
(
18
)
3
1
×
(
768
)
3
1
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4
2
3
−
2
1
3
4 \frac{2}{3}-2 \frac{1}{3}
4
3
2
−
2
3
1
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Select the answer which is equivalent to the given expression using your calculator.
\newline
cos
(
arctan
1
399
)
\cos \left(\arctan \frac{1}{\sqrt{399}}\right)
cos
(
arctan
399
1
)
\newline
399
20
\frac{\sqrt{399}}{20}
20
399
\newline
20
399
\frac{20}{\sqrt{399}}
399
20
\newline
1
399
\frac{1}{\sqrt{399}}
399
1
\newline
1
20
\frac{1}{20}
20
1
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Select the answer which is equivalent to the given expression using your calculator.
\newline
cos
(
arccos
1
170
)
\cos \left(\arccos \frac{1}{\sqrt{170}}\right)
cos
(
arccos
170
1
)
\newline
13
13
13
\newline
170
\sqrt{170}
170
\newline
170
13
\frac{\sqrt{170}}{13}
13
170
\newline
1
170
\frac{1}{\sqrt{170}}
170
1
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Simplify:
\newline
(
4
d
3
)
(
−
6
d
5
)
\left(4 d^{3}\right)\left(-6 d^{5}\right)
(
4
d
3
)
(
−
6
d
5
)
\newline
Answer:
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Simplify:
\newline
(
2
x
4
)
(
−
3
x
2
)
\left(2 x^{4}\right)\left(-3 x^{2}\right)
(
2
x
4
)
(
−
3
x
2
)
\newline
Answer:
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Given
x
>
0
x>0
x
>
0
and
y
>
0
y>0
y
>
0
, select the expression that is equivalent to
\newline
216
x
y
6
3
\sqrt[3]{216 x y^{6}}
3
216
x
y
6
\newline
6
x
3
y
1
2
6 x^{3} y^{\frac{1}{2}}
6
x
3
y
2
1
\newline
72
x
3
y
1
2
72 x^{3} y^{\frac{1}{2}}
72
x
3
y
2
1
\newline
6
x
1
3
y
2
6 x^{\frac{1}{3}} y^{2}
6
x
3
1
y
2
\newline
72
x
1
3
y
2
72 x^{\frac{1}{3}} y^{2}
72
x
3
1
y
2
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Given
x
>
0
x>0
x
>
0
and
y
>
0
y>0
y
>
0
, select the expression that is equivalent to
\newline
256
x
2
y
8
4
\sqrt[4]{256 x^{2} y^{8}}
4
256
x
2
y
8
\newline
64
x
2
y
1
2
64 x^{2} y^{\frac{1}{2}}
64
x
2
y
2
1
\newline
4
x
2
y
1
2
4 x^{2} y^{\frac{1}{2}}
4
x
2
y
2
1
\newline
64
x
1
2
y
2
64 x^{\frac{1}{2}} y^{2}
64
x
2
1
y
2
\newline
4
x
1
2
y
2
4 x^{\frac{1}{2}} y^{2}
4
x
2
1
y
2
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Which exponential expression is equivalent to
b
7
\sqrt[7]{b}
7
b
?
\newline
Choose
1
1
1
answer:
\newline
(A)
b
7
b^{7}
b
7
\newline
(B)
b
1
7
b^{\frac{1}{7}}
b
7
1
\newline
(C)
1
b
7
\frac{1}{b^{7}}
b
7
1
\newline
(D)
1
b
1
7
\frac{1}{b^{\frac{1}{7}}}
b
7
1
1
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Write the below fraction as a mixed number in its simplest form.
\newline
1
,
299
,
325
675
\frac{1,299,325}{675}
675
1
,
299
,
325
\newline
(A)
1
,
924
125
127
1,924 \frac{125}{127}
1
,
924
127
125
\newline
(B)
51
,
973
27
\frac{51,973}{27}
27
51
,
973
\newline
(C)
1
,
924
25
27
1,924 \frac{25}{27}
1
,
924
27
25
\newline
(D)
259
,
865
127
\frac{259,865}{127}
127
259
,
865
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Which number is equivalent to
3
,
300
32
?
\frac{3,300}{32} ?
32
3
,
300
?
\newline
(A)
32
103
\frac{32}{103}
103
32
\newline
(B)
825
32
\frac{825}{32}
32
825
\newline
(C)
103
1
8
103 \frac{1}{8}
103
8
1
\newline
(D)
206
1
4
206 \frac{1}{4}
206
4
1
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1
7
\frac{1}{7}
7
1
of
49
49
49
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Which expression is equivalent to
(
5
−
1
5
0
)
−
3
?
\left(\frac{5^{-1}}{5^{0}}\right)^{-3} ?
(
5
0
5
−
1
)
−
3
?
\newline
25
25
25
\newline
125
125
125
\newline
0
0
0
\newline
1
125
\frac{1}{125}
125
1
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Which expression is equivalent to
(
6
−
1
)
5
×
6
3
\left(6^{-1}\right)^{5} \times 6^{3}
(
6
−
1
)
5
×
6
3
?
\newline
36
36
36
\newline
1
1
1
\newline
1
36
\frac{1}{36}
36
1
\newline
1
6
\frac{1}{6}
6
1
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Convert
8
3
4
8 \frac{3}{4}
8
4
3
into an improper fraction.
\newline
Answer:
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