Zadanie 10
a)
4^5*0,5^4=(4*0,5)^4=2^4=16
b)
8^{10}*0,125^{12}=8^{10}*(\frac{125}{1000})^{12}=8^{10}*(\frac{1}{8})^{12}=8^{10}*8^{-12}=8^{10+(-12)}=8^{-2}=(\frac{1}{8})^2=\frac{1}{64}
c)
(2\frac{5}{6})^4:(\frac{17}{3})^5=\frac{(\frac{17}{6})^4}{(\frac{17}{3})^5}=\frac{(\frac{17}{3})^4*(\frac{1}{2})^4}{(\frac{17}{3})^4*\frac{17}{3}}=\frac{1}{16}*\frac{3}{17}=\frac{3}{272}
d)
(\frac{14}{15})^7:(\frac{7}{15})^6=\frac{14^7}{15^7}:\frac{7^6}{15^6}=\frac{14*14^6}{15*\not15^6}*\frac{\not15^6}{7^6}=\frac{14*2^6*\not7^6}{15}*\frac{1}{\not7^6}=
=\frac{14*64}{15}=\frac{896}{15}=59\frac{11}{15}