Błagam o pomoc i możliwe rozpisanie tego. Potrzebne na jutro. :C MATEMATYKA KLASA DRUGA GIMNAZJUM.

Działania na potęgach: [latex]a^{n}*a^{m}=a^{n*m}\frac{a^{n}}{a^{m}}=a^{n}:a^{m}=a^{n-m}\(a^{n})^{m}=a^{n*m}[/latex] ==================================== [latex]a) frac{a^{4}*a^{7}}{a^{11}:a^{5}}=frac{a^{4+7}}{a^{11-5}}=frac{a^{11}}{a^{6}}=a^{11}:a^{6}=a^{11-6}=a^{5}\ \ b) frac{a^{15}:a^{3}}{a^{4}*a^{6}}=frac{a^{15-3}}{a^{4+6}}=frac{a^{12}}{a^{10}}=a^{12}:a^{10}=a^{2}\ \ c) frac{(a^{5})^{3}}{a^{8}*a^{4}}=frac{a^{5*3}}{a^{8+4}}=frac{a^{15}}{a^{12}}=a^{15}:a^{12}=a^{15-12}=a^{3}[/latex] [latex]d) [frac{a^{4}*(a^{2})^{3}}{a^{5}}]^{10}=[frac{a^{4}*a^{2*3}}{a^{5}}]^{10}=[frac{a^{4}*a^{6}}{a^{5}}]^{10}=[frac{a^{4+6}}{a^{5}}]^{10}=\ \ =[frac{a^{10}}{a^{5}}]^{10}=[a^{10}:a^{5}]^{10}=[a^{10-5}]^{5}=[a^{5}]^{10}=a^{5*10}=a^{50}\ \ e) [a^{6}*a^{5}:(a^{4})^{2}]^{7}=[a^{6+5}:a^{4*2}]^{7}=[a^{11}:a^{8}]^{7}=[a^{11-8}]^{7}=\ \ =[a^{3}]^{7}=a^{3*7}=a^{21}[/latex]