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Math Problems
Algebra 1
Multiplication with rational exponents
Perform the operation and simplify the answer fully.
\newline
3
5
⋅
5
4
\frac{3}{5} \cdot \frac{5}{4}
5
3
⋅
4
5
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
7
6
÷
2
5
\frac{7}{6} \div \frac{2}{5}
6
7
÷
5
2
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
2
7
⋅
5
7
\frac{2}{7} \cdot \frac{5}{7}
7
2
⋅
7
5
\newline
Answer:
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Which of the following is equivalent to
\newline
(
a
+
6
c
)
÷
(
2
a
+
6
2
c
)
\left(\frac{a+6}{c}\right)\div\left(\frac{2a+6}{2c}\right)
(
c
a
+
6
)
÷
(
2
c
2
a
+
6
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
c
2
\frac{c}{2}
2
c
\newline
(B)
a
+
6
a
+
3
\frac{a+6}{a+3}
a
+
3
a
+
6
\newline
(C)
a
+
6
2
(
a
+
3
)
\frac{a+6}{2(a+3)}
2
(
a
+
3
)
a
+
6
\newline
(D)
1
1
1
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Perform the operation and simplify the answer fully.
\newline
6
5
÷
5
7
\frac{6}{5} \div \frac{5}{7}
5
6
÷
7
5
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
5
4
⋅
4
5
\frac{5}{4} \cdot \frac{4}{5}
4
5
⋅
5
4
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
4
9
⋅
1
2
\frac{4}{9} \cdot \frac{1}{2}
9
4
⋅
2
1
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
7
10
⋅
5
4
\frac{7}{10} \cdot \frac{5}{4}
10
7
⋅
4
5
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
4
3
5
9
\frac{\frac{4}{3}}{\frac{5}{9}}
9
5
3
4
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
2
5
÷
5
3
\frac{2}{5} \div \frac{5}{3}
5
2
÷
3
5
\newline
Answer:
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d
d
x
(
−
2
x
4
−
4
x
−
2
−
4
)
\frac{d}{dx}(-2x^{4}-4x^{-2}-4)
d
x
d
(
−
2
x
4
−
4
x
−
2
−
4
)
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Anton watched
x
x
x
movies in
2019
2019
2019
. If Michael watched
1
4
\frac{1}{4}
4
1
as many movies as Anton did in
2019
2019
2019
, which of the following best approximates the number of movies Michael watched in
2019
2019
2019
? Choose
1
1
1
answer:
\newline
(A)
x
4
\frac{x}{4}
4
x
\newline
(B)
3
x
4
\frac{3x}{4}
4
3
x
\newline
(C)
x
−
4
x-4
x
−
4
\newline
(D)
4
x
4x
4
x
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1
3
+
2
5
\frac{1}{3}+\frac{2}{5}
3
1
+
5
2
= `?`
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ln
(
2
b
−
2
c
3
)
\ln\left(\frac{2b^{-2}}{c^{3}}\right)
ln
(
c
3
2
b
−
2
)
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Simplify
(
3
x
3
2
y
3
x
2
y
−
1
2
)
−
2
\left(\frac{3x^{\frac{3}{2}}y^{3}}{x^{2}y^{-\frac{1}{2}}}\right)^{-2}
(
x
2
y
−
2
1
3
x
2
3
y
3
)
−
2
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Which expressions are equivalent to
x
1.4
x^{1.4}
x
1.4
?
\newline
Choose all answers that apply:
\newline
(A)
x
7
5
\sqrt[5]{x^7}
5
x
7
\newline
(B)
(
x
5
)
7
(\sqrt[5]{x})^7
(
5
x
)
7
\newline
(C)
(
x
1
5
)
7
(x^{\frac{1}{5}})^7
(
x
5
1
)
7
\newline
(D) None of the above
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Given the function
f
(
x
)
=
(
7
x
2
+
6
x
)
4
f(x)=\left(7 x^{2}+6 x\right)^{4}
f
(
x
)
=
(
7
x
2
+
6
x
)
4
, find
f
′
(
x
)
f^{\prime}(x)
f
′
(
x
)
in any form.
\newline
Answer:
f
′
(
x
)
=
f^{\prime}(x)=
f
′
(
x
)
=
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Convert
49
8
\frac{49}{8}
8
49
into a mixed number.
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Convert
10
9
\frac{10}{9}
9
10
into a mixed number.
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Convert
9
1
9
9 \frac{1}{9}
9
9
1
into an improper fraction.
\newline
Answer:
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Convert
4
4
9
4 \frac{4}{9}
4
9
4
into an improper fraction.
\newline
Answer:
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Convert
29
10
\frac{29}{10}
10
29
into a mixed number.
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Convert
13
3
\frac{13}{3}
3
13
into a mixed number.
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Convert
3
7
9
3 \frac{7}{9}
3
9
7
into an improper fraction.
\newline
Answer:
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Convert
7
5
\frac{7}{5}
5
7
into a mixed number.
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Convert
4
4
9
4 \frac{4}{9}
4
9
4
into an improper fraction.
\newline
Answer:
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Convert
36
7
\frac{36}{7}
7
36
into a mixed number.
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Convert
64
9
\frac{64}{9}
9
64
into a mixed number.
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
11
8
+
(
−
5
16
)
\frac{11}{8}+\left(-\frac{5}{16}\right)
8
11
+
(
−
16
5
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
11
2
+
(
−
12
5
)
\frac{11}{2}+\left(-\frac{12}{5}\right)
2
11
+
(
−
5
12
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
3
20
−
(
−
1
8
)
-\frac{3}{20}-\left(-\frac{1}{8}\right)
−
20
3
−
(
−
8
1
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
1
4
−
(
−
9
40
)
-\frac{1}{4}-\left(-\frac{9}{40}\right)
−
4
1
−
(
−
40
9
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
11
2
−
11
14
-\frac{11}{2}-\frac{11}{14}
−
2
11
−
14
11
\newline
Answer:
\newline
Submit Answer
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
11
6
+
(
−
3
10
)
-\frac{11}{6}+\left(-\frac{3}{10}\right)
−
6
11
+
(
−
10
3
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
7
4
−
8
5
-\frac{7}{4}-\frac{8}{5}
−
4
7
−
5
8
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
1
11
−
1
10
-\frac{1}{11}-\frac{1}{10}
−
11
1
−
10
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
11
12
−
(
−
9
7
)
-\frac{11}{12}-\left(-\frac{9}{7}\right)
−
12
11
−
(
−
7
9
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
11
20
−
(
−
7
12
)
-\frac{11}{20}-\left(-\frac{7}{12}\right)
−
20
11
−
(
−
12
7
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
2
13
+
(
−
6
13
)
-\frac{2}{13}+\left(-\frac{6}{13}\right)
−
13
2
+
(
−
13
6
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
5
8
−
(
−
7
12
)
-\frac{5}{8}-\left(-\frac{7}{12}\right)
−
8
5
−
(
−
12
7
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
8
9
−
2
63
-\frac{8}{9}-\frac{2}{63}
−
9
8
−
63
2
\newline
Answer:
\newline
Submit Answer
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
8
3
−
(
−
4
3
)
-\frac{8}{3}-\left(-\frac{4}{3}\right)
−
3
8
−
(
−
3
4
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
6
7
+
(
−
2
21
)
-\frac{6}{7}+\left(-\frac{2}{21}\right)
−
7
6
+
(
−
21
2
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
12
13
−
7
13
-\frac{12}{13}-\frac{7}{13}
−
13
12
−
13
7
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
11
8
+
(
−
5
16
)
\frac{11}{8}+\left(-\frac{5}{16}\right)
8
11
+
(
−
16
5
)
\newline
Answer:
\newline
Submit Answer
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
4
17
+
(
−
12
17
)
\frac{4}{17}+\left(-\frac{12}{17}\right)
17
4
+
(
−
17
12
)
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
8
9
−
2
63
-\frac{8}{9}-\frac{2}{63}
−
9
8
−
63
2
\newline
Answer:
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Convert
36
7
\frac{36}{7}
7
36
into a mixed number.
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Convert
19
5
\frac{19}{5}
5
19
into a mixed number.
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Find
d
d
c
(
5
c
5
−
5
sin
c
)
\frac{d}{d c}\left(5 c^{5}-5 \sin c\right)
d
c
d
(
5
c
5
−
5
sin
c
)
\newline
Answer:
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