[tex]1)\\\\\frac{ 2^3* 2^{-1} +2^3 :1\frac{1}{3} }{2^{-2}}=\frac{ 2^{3-1} +2^3 : \frac{4}{3} }{ (\frac{1}{2})^{ 2}}=\frac{ 2^{2} +\not{8}^2* \frac{3}{\not{4}^1} }{ \frac{1}{4} }=\frac{ 4+ 6}{ \frac{1}{4} } =\\\\= \frac{ 10}{ \frac{1}{4} } =10:\frac{1}{4}=10*4=40\\\\2)\\\\\frac{ 6^2*6^{-1} -2*6^0 }{2^{-2} } =\frac{ 6^{2-1} -2*1 }{ 2^{-2} } =\frac{ 6 -2}{ 2^{-2}} = \frac{4}{2^{-2}} =\frac{2^2}{2^{-2}} =\\\\=2^{2-(-2)} =2^{2+2}=2^4=16[/tex]
[tex]3)\\\\\frac{ 4^4 :4^{2}-5^5*5^{-4} }{( \frac{1}{11})^{-1} }=\frac{ 4^{4-2}- 5^{5-4} }{ 11 }=\frac{ 4^{2}- 5 }{ 11 }=\frac{16- 5 }{ 11 }=\frac{11}{11}=1\\\\4)\\\\ (2a^3)^2*(3a^4)^2= 4a^6*9a^8=36a^{6+8}=36a^{14}\\\\5)\\\\ (2a^4b^2c^2)^5 :(0,5a^2bc^2)^3= (32a^ {20}*b^{10}*c^ {10}) :(0,125a^6*b^3*c^6)=\\\\=32:0,125*a^{20-6} *b^{10-3}*c^ {10-6}=32:\frac{1}{8}* a^{14} *b^{7}*c^ {4}=32*8*a^{14} *b^{7}*c^ {4}=\\\\=256*a^{14} *b^{7}*c^ {4}[/tex]
