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Math Problems
Precalculus
Evaluate rational exponents
Solve for
x
\mathrm{x}
x
.
\newline
−
3
2
=
30
x
-\frac{3}{2}=\frac{30}{x}
−
2
3
=
x
30
\newline
Answer:
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Solve for
x
\mathrm{x}
x
.
\newline
−
2
3
=
10
x
-\frac{2}{3}=\frac{10}{x}
−
3
2
=
x
10
\newline
Answer:
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6
10
−
1
5
\frac{6}{10}-\frac{1}{5}
10
6
−
5
1
=
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Which value of
x
x
x
satisfies the equation
4
3
(
x
−
1
4
)
=
−
37
3
\frac{4}{3}\left(x-\frac{1}{4}\right)=-\frac{37}{3}
3
4
(
x
−
4
1
)
=
−
3
37
?
\newline
9
9
9
\newline
−
8
-8
−
8
\newline
8
8
8
\newline
−
9
-9
−
9
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Which expression is equivalent to
−
47.7
−
64.5
-47.7-64.5
−
47.7
−
64.5
?
\newline
−
64.5
+
47.7
-64.5+47.7
−
64.5
+
47.7
\newline
47.7
+
(
−
64.5
)
47.7+(-64.5)
47.7
+
(
−
64.5
)
\newline
−
47.7
+
(
−
64.5
)
-47.7+(-64.5)
−
47.7
+
(
−
64.5
)
\newline
64.5
−
(
−
47.7
)
64.5-(-47.7)
64.5
−
(
−
47.7
)
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Which expression is equivalent to
−
61.6
+
12.2
?
-61.6+12.2 ?
−
61.6
+
12.2
?
\newline
−
12.2
+
(
−
61.6
)
-12.2+(-61.6)
−
12.2
+
(
−
61.6
)
\newline
−
61.6
+
(
−
12.2
)
-61.6+(-12.2)
−
61.6
+
(
−
12.2
)
\newline
12.2
−
(
−
61.6
)
12.2-(-61.6)
12.2
−
(
−
61.6
)
\newline
12.2
−
61.6
12.2-61.6
12.2
−
61.6
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Which expression is equivalent to
−
3.7
−
54.7
-3.7-54.7
−
3.7
−
54.7
?
\newline
54.7
−
(
−
3.7
)
54.7-(-3.7)
54.7
−
(
−
3.7
)
\newline
−
54.7
+
3.7
-54.7+3.7
−
54.7
+
3.7
\newline
3.7
+
(
−
54.7
)
3.7+(-54.7)
3.7
+
(
−
54.7
)
\newline
−
3.7
+
(
−
54.7
)
-3.7+(-54.7)
−
3.7
+
(
−
54.7
)
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(
d
d
x
)
(
−
4
x
4
3
−
2
x
−
3
4
+
3
)
\left(\frac{d}{dx}\right)(-4x^{\frac{4}{3}}-2x^{-\frac{3}{4}}+3)
(
d
x
d
)
(
−
4
x
3
4
−
2
x
−
4
3
+
3
)
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Find
d
d
x
(
64
x
−
3
)
\frac{d}{dx}(\sqrt{64x^{-3}})
d
x
d
(
64
x
−
3
)
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Find
d
d
x
49
x
−
9
\frac{d}{dx}\sqrt{49x^{-9}}
d
x
d
49
x
−
9
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Convert
64
9
\frac{64}{9}
9
64
into a mixed number.
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ln
(
1
e
)
\ln \left( \frac{1}{e} \right)
ln
(
e
1
)
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log
3
(
7
−
2
x
)
=
5
(
4
x
+
11
)
\log 3^{(7-2x)}=5^{(4x+11)}
lo
g
3
(
7
−
2
x
)
=
5
(
4
x
+
11
)
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ln
x
2
+
1
x
3
+
5
\ln\sqrt{\frac{x^{2}+1}{x^{3}+5}}
ln
x
3
+
5
x
2
+
1
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3
5
−
3
10
\frac{3}{5}-\frac{3}{10}
5
3
−
10
3
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y
=
(
sin
−
1
(
5
x
2
)
)
3
y=(\sin^{-1}(5x^{2}))^{3}
y
=
(
sin
−
1
(
5
x
2
)
)
3
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Simplify
ln
(
1
e
)
\ln \left(\frac{1}{e}\right)
ln
(
e
1
)
\newline
Answer:
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Simplify
ln
(
1
e
)
\ln \left(\frac{1}{\sqrt{e}}\right)
ln
(
e
1
)
\newline
Answer:
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What is the value of
d
d
x
(
x
3
2
)
\frac{d}{d x}\left(x^{\frac{3}{2}}\right)
d
x
d
(
x
2
3
)
at
x
=
9
x=9
x
=
9
?
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What is the value of
d
d
x
(
x
−
7
)
\frac{d}{d x}\left(x^{-7}\right)
d
x
d
(
x
−
7
)
at
x
=
−
1
x=-1
x
=
−
1
?
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What is the value of
d
d
x
(
x
1
3
)
\frac{d}{d x}\left(x^{\frac{1}{3}}\right)
d
x
d
(
x
3
1
)
at
x
=
8
x=8
x
=
8
?
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d
d
x
[
x
3
sin
(
x
)
]
=
\frac{d}{d x}\left[\frac{x^{3}}{\sin (x)}\right]=
d
x
d
[
s
i
n
(
x
)
x
3
]
=
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