Simplify (144m^8n^6)/(12m^4n^3)+(-121n^4)/(11n^2)

 Esercizio

$\frac{144m^8n^6}{12m^4n^3}-\frac{121n^4}{11n^2}$

 

Applicare la formula: $\frac{a^m}{a^n}$$=a^{\left(m-n\right)}$, dove $a^n=m^4$, $a^m=m^8$, $a=m$, $a^m/a^n=\frac{144m^8n^6}{12m^4n^3}$, $m=8$ e $n=4$

$\frac{144m^{4}n^6}{12n^3}+\frac{-121n^4}{11n^2}$

 

Applicare la formula: $\frac{a^m}{a^n}$$=a^{\left(m-n\right)}$, dove $a^n=n^3$, $a^m=n^6$, $a=n$, $a^m/a^n=\frac{144m^{4}n^6}{12n^3}$, $m=6$ e $n=3$

$\frac{144m^{4}n^{3}}{12}+\frac{-121n^4}{11n^2}$

 

Applicare la formula: $\frac{a^m}{a^n}$$=a^{\left(m-n\right)}$, dove $a^n=n^2$, $a^m=n^4$, $a=n$, $a^m/a^n=\frac{-121n^4}{11n^2}$, $m=4$ e $n=2$

$\frac{144m^{4}n^{3}}{12}+\frac{-121n^{2}}{11}$

 

Applicare la formula: $\frac{ab}{c}$$=\frac{a}{c}b$, dove $ab=144m^{4}n^{3}$, $a=144$, $b=m^{4}n^{3}$, $c=12$ e $ab/c=\frac{144m^{4}n^{3}}{12}$

$12m^{4}n^{3}+\frac{-121n^{2}}{11}$

 

Applicare la formula: $\frac{ab}{c}$$=\frac{a}{c}b$, dove $ab=-121n^{2}$, $a=-121$, $b=n^{2}$, $c=11$ e $ab/c=\frac{-121n^{2}}{11}$

$12m^{4}n^{3}-11n^{2}$

$12m^{4}n^{3}-11n^{2}$

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