a^n*b^n=(a*b)^n
(2\frac{1}{5})^3*(\frac{5}{11})^3=(2\frac{1}{5}*\frac{5}{11})^3=(\frac{11}{5}*\frac{5}{11})^3=1^3=1
wzory
\frac{6^{-3}*(6^2)^{-5}}{(\frac{1}{36})^6}=
\frac{6^{-3}*6^{2*(-5)}}{(6^{-2})^6}=
\frac{6^{-3}*6^{-10}}{6^{-12}}=
\frac{6^{-3+(-10)}}{6^{-12}}=\frac{6^{-13}}{6^{-12}}=
6^{-13-(-12)}=6^{-13+12}=
6^{-1}=
\frac{1}{6}
\frac{(\frac{a}{b})^5*a^{-2}}{(ba)^2}=\frac{\frac{a^5*a^{-2}}{b^5}}{(ba)^2}=\frac{\frac{a^3}{b^5}}{b^2a^2}=\frac{a^3}{b^5}*\frac{1}{b^2a^2}=\frac{a^3}{b^5b^2a^2}=\frac{a^3}{b^7a^2}=\frac{a}{b^7}
cdn…