Question Number 126206 by amns last updated on 18/Dec/20
$${If}\:\:\:\left({n}\:>\:{m}\right),\: \\ $$ $$\mathrm{then}\:\frac{{a}^{{m}} }{{a}^{{n}} }\:=\:{a}^{?} \\ $$
Commented byamns last updated on 18/Dec/20
$$\mathrm{Is}\:\mathrm{the}\:\mathrm{ans}.\:{a}^{\frac{\mathrm{1}}{{n}\:−\:{m}}} \:\:\:? \\ $$
Answered by MJS_new last updated on 18/Dec/20
$$\frac{{a}^{{m}} }{{a}^{{n}} }={a}^{{m}−{n}} \\ $$ $$\mathrm{no}\:\mathrm{matter}\:\mathrm{if}\:{m}>{n}\:\mathrm{or}\:{m}<{n} \\ $$ $${a}^{−{k}} =\frac{\mathrm{1}}{{a}^{{k}} }\:\Rightarrow\:{a}^{{m}−{n}} =\frac{\mathrm{1}}{{a}^{{n}−{m}} } \\ $$