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Math Problems
Algebra 2
Multiplication with rational exponents
valuate the expression.
\newline
−
11
+
9
(
−
7
+
3
)
-11+9(-7+3)
−
11
+
9
(
−
7
+
3
)
\newline
Type a number in the box
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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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3
3
3
. The value of
y
y
y
varies directly with
x
x
x
, and when
x
=
1
4
,
y
=
25
x=\frac{1}{4}, y=25
x
=
4
1
,
y
=
25
. What is the value of
y
y
y
when
x
x
x
is
2
1
3
2 \frac{1}{3}
2
3
1
?
\newline
A.
233
1
3
233 \frac{1}{3}
233
3
1
\newline
B.
9
1
3
9 \frac{1}{3}
9
3
1
\newline
C.
14
1
2
14 \frac{1}{2}
14
2
1
\newline
D.
213
1
4
213 \frac{1}{4}
213
4
1
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1
x
=
x
121
\frac{1}{x}=\frac{x}{121}
x
1
=
121
x
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Write two types of problems you could solve by calculating
4
1
5
−
2
2
3
4 \frac{1}{5}-2 \frac{2}{3}
4
5
1
−
2
3
2
. Use two different meanings of subtraction.
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Algebra
1
1
1
\newline
Quiz Date
\newline
Simplify. Your answer should contain on
\newline
1
1
1
)
3
m
m
3
3 \mathrm{~mm}^{3}
3
mm
3
\newline
3
3
3
)
(
3
n
0
)
4
\left(3 n^{0}\right)^{4}
(
3
n
0
)
4
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3
3
3
. Find the square root of each of the following by division.
\newline
(i)
841
841
841
\newline
(ii)
2304
2304
2304
\newline
(iii)
39204
39204
39204
\newline
(iv)
55225
55225
55225
\newline
(v)
177241
177241
177241
\newline
(vi)
425104
425104
425104
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139
(
A
)
139(\mathrm{~A})
139
(
A
)
\newline
Найти сумму:
\newline
1
1
+
2
+
1
2
+
3
+
…
+
1
2006
+
2007
\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\ldots+\frac{1}{\sqrt{2006}+\sqrt{2007}}
1
+
2
1
+
2
+
3
1
+
…
+
2006
+
2007
1
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Express
[
(
3
2
)
4
]
3
\left[\left(3^{2}\right)^{4}\right]^{3}
[
(
3
2
)
4
]
3
as a single power of
3
3
3
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Question
8
8
8
\newline
Simplify
(
1
6
x
−
2
9
x
)
+
5
9
x
\left(\frac{1}{6} x-\frac{2}{9} x\right)+\frac{5}{9} x
(
6
1
x
−
9
2
x
)
+
9
5
x
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Question
\newline
Simplify to a single power of
3
3
3
:
\newline
3
6
⋅
3
5
3^{6} \cdot 3^{5}
3
6
⋅
3
5
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One of the numerical expressions below is equivalent to
2
2
⋅
3
2
1
2
2^{2} \cdot 32^{\frac{1}{2}}
2
2
⋅
3
2
2
1
. Which one?
\newline
A
32
2
32 \sqrt{2}
32
2
\newline
B
12
8
1
2
128^{\frac{1}{2}}
12
8
2
1
\newline
C
16
2
16 \sqrt{2}
16
2
\newline
D
6
4
5
2
64^{\frac{5}{2}}
6
4
2
5
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9
9
9
) Which of the following is equivalent to
4
×
1
0
8
8
×
1
0
4
\frac{4 \times 10^{8}}{8 \times 10^{4}}
8
×
1
0
4
4
×
1
0
8
?
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Date
\newline
tive exponents.
\newline
2
2
2
)
(
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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1
1
1
,
1
8
,
1
27
,
1
64
,
1
125
,
1
216
,
…
…
\frac{1}{8}, \frac{1}{27}, \frac{1}{64}, \frac{1}{125}, \frac{1}{216}, \ldots \ldots
8
1
,
27
1
,
64
1
,
125
1
,
216
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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Simplify:
\newline
15
15
15
.)
64
729
3
\sqrt[3]{\frac{64}{729}}
3
729
64
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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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(
18
)
1
2
×
(
64
)
1
5
(18)^{\frac{1}{2}} \times(64)^{\frac{1}{5}}
(
18
)
2
1
×
(
64
)
5
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
(
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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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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−
3
3
⋅
(
1
375
)
1
3
\sqrt[3]{-3} \cdot\left(\frac{1}{375}\right)^{\frac{1}{3}}
3
−
3
⋅
(
375
1
)
3
1
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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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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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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.
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
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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