Odpowiedź:
a)
[tex]\frac{125*15}{3^{3} *5^{4}} =\frac{5^{4}*3 }{3^{3} *5^{4}} =\frac{1}{9}[/tex]
b)
[tex]\frac{(3^{5})^{4} *6^{4}}{9^{7} *4^{2} } =\frac{3^{20} *3^{4} *2^{4} }{3^{14} *2^{4} } =\frac{3^{24} *2^{4} }{3^{14} *2^{4}} =3^{10}[/tex]
c)
[tex]\frac{9^{3} *4^{4} }{6^{10} } =\frac{3^{6}*2^{8} }{2^{10}*3^{10} } =\frac{1}{324}[/tex]
d)
[tex]\frac{0.25^{3} :0.5^{3}}{5^{3} } =\frac{(0.25:0.5)^{3} }{5^{3} } =\frac{0.5^{3} }{5^{3} } =0.1^{3} =0.001[/tex]
e)
[tex]\frac{(8^{5}*4^{3} )^{2}*25^{2} }{10^{4}*2^{10}} =\frac{(2^{15}*2^{6})^{2}*5^{4}}{2^{4}*5^{4}*2^{10}}=\frac{2^{42}*5^{4}}{2^{14}*5^{4}}=2^{28}[/tex]
f)
[tex]\frac{64^{2}*36^{4}}{6^{3}*2^{6}}=\frac{2^{12}*6^{8}}{6^{3}*2^{6}}=2^{6}*6^{5}=2*12^{5}[/tex]
Szczegółowe wyjaśnienie:
