다음을 풀어보세요: {l}{2160=2^{a}*3^{b}*5^c}{d=a}{e=b}{f=c}{g=3^a*2^-b*5^-c}{h=d}{i=e}{j=f}{k=g}{text{Solvefor}l,m,n,otext{where}}{l=h}{m=i}{n=j}{o=k}

$$\left. \begin{array} { l } { 2160 = 2 ^ {a} \cdot 3 ^ {b} \cdot 5 ^ {c} }\\ { d = a }\\ { e = b }\\ { f = c }\\ { g = 3 ^ {a} \cdot 2 ^ {-b} \cdot 5 ^ {-c} }\\ { h = d }\\ { i = e }\\ { j = f }\\ { k = g }\\ { \text{Solve for } l,m,n,o \text{ where} } \\ { l = h }\\ { m = i }\\ { n = j }\\ { o = k } \end{array} \right.$$

계산

$$2160=2^{a}\times 3^{b}\times 5^{c},\ d=a,\ b=e,\ f=c,\ g=\frac{3^{a}}{2^{b}\times 5^{c}},\ h=d,\ \text{false},\ j=f,\ k=g,\ l=h,\ m=i,\ n=j,\ o=k$$