5^{-30} : (\frac{1}{125})^{-60}=
źródło:
5^{-30} : (\frac{1}{125})^{-60}=5^{-30}:125^{60}=\frac{5^{-30}}{(5*5^2)^{60}}=\frac{5^{-30}}{5^{60}*5^{120}}
=\frac{5^{-30}}{5^{180}}=5^{-30-180}=5^{-210}
\frac{1}{5^3^0}:\frac{1}{\frac{1}{125^6^0}}=\frac{1}{5^3^0}:\frac{125^6^0}{1}=\frac{1}{5^3^0}*\frac{1}{(5^3)^6^0}=\frac{1}{5^3^0}*\frac{1}{5^1^8^0}=\frac{1}{5^3^0^+^1^8^0}=\frac{1}{5^2^1^0}=5^-^2^1^0