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Let’s check out your problem:
Simplify:
3
n
−
6
m
2
18
m
−
3
n
−
5
\frac{3n^{-6}m^{2}}{18m^{-3}n^{-5}}
18
m
−
3
n
−
5
3
n
−
6
m
2
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Math Problems
Calculus
Find derivatives of using multiple formulae
Full solution
Q.
Simplify:
3
n
−
6
m
2
18
m
−
3
n
−
5
\frac{3n^{-6}m^{2}}{18m^{-3}n^{-5}}
18
m
−
3
n
−
5
3
n
−
6
m
2
Simplify coefficients and variables:
Simplify the coefficients and variables separately.
\newline
(\frac{3}{18}) \times (n^{(-6)}/n^{(-5)}) \times (m^{2}/m^{(-3)})\(\newline= (\frac{1}{6}) \times n^{(-6+5)} \times m^{(2+3)}\)
Calculate powers for n and m:
Calculate the powers for n and m.
n
−
1
×
m
5
n^{-1} \times m^{5}
n
−
1
×
m
5
Combine the results:
Combine the results.
\newline
(
1
6
)
⋅
n
−
1
⋅
m
5
(\frac{1}{6}) \cdot n^{-1} \cdot m^{5}
(
6
1
)
⋅
n
−
1
⋅
m
5
\newline
=
(
m
5
6
n
)
(\frac{m^5}{6n})
(
6
n
m
5
)
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