zad 2.7 a) [latex]2^{5}:(2^{3}-2^{0})=32:(8-1)=32:7=4frac{4}{32}=4frac{1}{8}[/latex] b)[latex](2^{8}:2^{7})^{3}=(128:64)^{3}=2^{3}=8 [/latex] c)[latex]1,25^{3}*8^{3}=10^{3}=1000 [/latex] d)[latex]0,5^{3}*4^{2}=0,125*16=2 [/latex] e)[latex]0,25^{17}*4^{17}=1^{17}=1 [/latex] f)[latex](2^{5}:2^{3}):2^{10}=2^{2}:2^{10}=0,00390625 [/latex] g)[latex](2^{3}*2^{2}):2^{12}=2^{5}:2^{12}=32:406=0,0078125 [/latex] h)[latex]frac{10^{5}*10^{3}*(10^{2})^{7}}{10^{20}}=frac{10^{8}*10^{14}}{10^{20}}=10^{22}:10^{20}=10^{2}=100[/latex] i)[latex]frac{100^{5}:25^{5}}{4^{5}}=frac{4^{5}}{4^{5}}=1[/latex] j)[latex]frac{1000^{7}:125^{7}}{64^{3}}=frac{8^{7}}{64^{3}}=2097152-262144=8[/latex] k)[latex]frac{2^{13}*5^{13}}{10^{13}}=frac{10^{13}}{10^{13}}=1[/latex] l)[latex]2,5^{4}*4^{4}=10^{4}=10000 [/latex] m)[latex][(3^{7}*3{2})^{2}:3^{17}]^{3}=[(3^{9})^{2}:3^{17}]^{3}=(3^{18}:3^{17})^{3}=3^{3}=27 [/latex] n)[latex]frac{17^{4}*16}{34^{4}}=frac{83521*16}{1336336}=frac{1336336}{1336336}=1[/latex] o)[latex](10^{7}:10)^{2}:10^{11}=(10^{8})^{2}:10^{11}=10^{16}:10^{11}=10^{5}=100000 [/latex] zad 2. a)[latex]3^{5}*(3^{2})^{3}=3^{5}*3^{6}=3^{11} [/latex] b)[latex]27^{5}:3^{2}=(3^{3})^{5}:3^{2}=3^{15}:3^{2}=3^{13}[/latex] c)[latex]3^{2}*9:3^{3}=3^{2}*3^{2}:3^{3}=3[/latex] d)[latex]3^{7}*frac{1}{9}=3^{7}*3^{(-2)}=3^{(-14)}[/latex] e)[latex]frac{3^{2}*27}{35}=frac{3^{2}*3^{3}}{3^{5}}=frac{3^{5}}{3^{5}}=1 [/latex] zad3. a)[latex]2^{5}*4^{3}:8^{3}=32*2^{3}=32*8=256 [/latex] b)[latex]2,5^{7}*4^{7}:10^{5}=10^{7}:10^{5}=10^{2}=100 [/latex] c)[latex](frac{1}{3})^{4}*9^{3}=frac{1}{61}*729=frac{729}{61}=11frac{58}{61}[/latex] d)[latex]0,2^{120}*5^{120}=1^{120}=1[/latex] e)[latex]frac{1,5^{3}*27}{4,52}=frac{3,375*27}{20,25}=frac{91,125}{20,25}=4,5[/latex] f)[latex]0,2^{6}*(10^{2})^{3}=0,2^{6}*10^{6}=2^{6}=64[/latex] g)[latex]0,0001^{2}*1000^{3}=0,00000001*1000000000=10[/latex] h)[latex]25^{2}*0,04=625*0,04=25[/latex] i)[latex](frac{3}{4})^{5}*(1frac{1}{3})^{4}=(frac{3}{4})^{5}*(frac{4}{3})^{4}=(frac{243}{1024}*frac{256}{81})=12[/latex] zad4. [latex]frac{(a^{3})^{3}:a^{2}}{(a^{2}*a)^{2}*a}=frac{a^{9}:a^{2}}{(a^{3})^{2}*a}=frac{a^{7}}{a^{7}[/latex] b)[latex]frac{(a^{8})^{2}*a^{5}}{a^{7}}=frac{a^{6}*a^{5}}{a^{7}}=frac{a^{11}}{a^{7}}=a^{4}[/latex] c)[latex]frac{(a^{8})^{2}*a^{15}}{a^{2}}=frac{a^{16}*a^{15}}{a^{2}}=frac{a^{31}}{a^{2}}=a^{29}[/latex] i to by bylo na tyle:) Polecam sie na przyszłość
