[tex]cwiczenie~~1.\\\\a)~~(\frac{1}{2} )^{1} \cdot 8^{2} =\dfrac{1}{2} \cdot 64 =32\\\\b)~~(-1)^{2} -(-1)^{1} -(-1)^{0} =1-(-1)-1=1+1-1=1\\\\c)~~(-2\frac{1}{2} )^{3} =(-\frac{5}{2} )^{3} =(-\frac{5}{2} )\cdot (-\frac{5}{2} )\cdot (-\frac{5}{2} )=-\dfrac{125}{8}=-15\dfrac{5}{8} \\\\d)~~\dfrac{\frac{1}{5} +0,2^{2} }{3^{2} +(-1)^{6} } =\dfrac{0,2+0,04}{9+1} =\dfrac{0,24}{10} =0,024\\\\\\[/tex]
[tex]e)~~\dfrac{6^{7} }{3^{6} } =\dfrac{(2\cdot 3)^{7} }{3^{6} }=\dfrac{2^{7} \cdot 3^{7} }{3^{6} }=2^{7} \cdot 3^{7-6}=2^{7} \cdot 3^{1} = 128\cdot 3=384[/tex]
[tex]f)~~\dfrac{7^{8} }{14^{6} } =\dfrac{7^{8} }{(2\cdot 7)^{6} }=\dfrac{7^{8} }{2^{6} \cdot 7^{6} }=\dfrac{1}{2^{6} } \cdot 7^{8-6} =\dfrac{1}{64} \cdot 7^{2} =\dfrac{1}{64} \cdot 49 =\dfrac{49}{64}[/tex]
