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Obliczenia
[tex]3^6:3^2\cdot3^5=3^{6-2}\cdot3^5=3^4\cdot3^5=3^{4+5}=\boxed{3^9}\\\\(0,5^3)^4=0,5^{3\cdot4}=\boxed{0,5^{12}}\\\\\frac{(7^4)^2\cdot7^4}{7^3}=\frac{7^{4\cdot2}\cdot7^4}{7^3}=\frac{7^8\cdot7^4}{7^3}=\frac{7^{8+4}}{7^3}=\frac{7^{12}}{7^3}=7^{12-3}=\boxed{7^9}[/tex]
Użyte wzory
[tex](a^m)^n=a^{m\cdot n}\\\\a^m:a^n=a^{m-n}\\\\a^m\cdot a^n=a^{m+n}[/tex]