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Math Problems
Algebra 2
Simplify radical expressions with root inside the root
Fully simplify using only positive exponents.
\newline
125
x
3
y
2
x
5
y
3
\frac{125 x^{3} y^{2}}{x^{5} y^{3}}
x
5
y
3
125
x
3
y
2
\newline
Answer:
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Fully simplify using only positive exponents.
\newline
9
x
5
y
3
9
x
2
y
\frac{9 x^{5} y^{3}}{9 x^{2} y}
9
x
2
y
9
x
5
y
3
\newline
Answer:
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Which expression is equivalent to
(
3
2
×
3
−
1
)
2
\left(3^{2} \times 3^{-1}\right)^{2}
(
3
2
×
3
−
1
)
2
?
\newline
9
9
9
\newline
1
9
\frac{1}{9}
9
1
\newline
81
81
81
\newline
27
27
27
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Find
d
d
p
(
4
p
4
−
4
sin
p
)
\frac{d}{d p}\left(4 p^{4}-4 \sin p\right)
d
p
d
(
4
p
4
−
4
sin
p
)
\newline
Answer:
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Find
d
d
x
(
4
cos
2
x
)
\frac{d}{d x}(4 \cos 2 x)
d
x
d
(
4
cos
2
x
)
\newline
Answer:
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Given the function
y
=
(
3
+
4
x
)
(
6
x
−
5
−
x
3
)
y=(3+4 x)\left(6 x-5-x^{3}\right)
y
=
(
3
+
4
x
)
(
6
x
−
5
−
x
3
)
, find
d
y
d
x
\frac{d y}{d x}
d
x
d
y
in any form.
\newline
Answer:
d
y
d
x
=
\frac{d y}{d x}=
d
x
d
y
=
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Find
d
d
x
(
−
cos
x
)
\frac{d}{d x}(-\cos x)
d
x
d
(
−
cos
x
)
\newline
Answer:
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Find
d
d
x
(
cos
x
)
\frac{d}{d x}(\cos x)
d
x
d
(
cos
x
)
\newline
Answer:
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