Odpowiedź:
[tex]a)\ \ \dfrac{5^2\cdot5^7:5^3}{25^2}=\dfrac{5^{2+7-3}}{(5^2)^2}=\dfrac{5^6}{5^4}=5^{6-4}=5^2=25\\\\\\b)\ \ (2^3)^4:4:8^3=2^{12}:2^2:(2^3)^3=2^{12}:2^2:2^9=2^{12-2-9}=2^1=2\\\\\\c)\ \ (0,125\cdot2^4)^5=(\frac{125}{1000}\cdot16)^5=(\frac{1}{\not8_{1}}\cdot\not16^2)^5=2^5=32[/tex]
[tex]d)\ \ \dfrac{(\frac{1}{3})^8\cdot6^8}{(\frac{1}{2})^6\cdot4^6}=\dfrac{(\frac{1}{\not3_{1} }\cdot\not6^2)^8}{(\frac{1}{\not2_{1}}\cdot\not4^2)^6}=\dfrac{2^8}{2^6}=2^{8-6}=2^2=4[/tex]
