$\underline{\underline{\text{obliczenia:}}}$

$2^3\cdot 2^2+2^5=2^{3+2}+2^5=2^5+2^5=2\cdot 2^5=2^6$

$4^{-1}:{64}^{-2}={\left(2^2\right)}^{-1}:{\left(2^6\right)}^{-2}=2^{2\cdot \left(-1\right)}:2^{6\cdot \left(-2\right)}=2^{-2}:2^{-12}=2^{-2-\left(-12\right)}=2^{-2+12}=2^{10}$

${0,25}^{-1}\cdot 4^4={\left(\frac{1}{4}\right)}^{-1}\cdot 4^4=4\cdot 4^4=4^5={\left(2^2\right)}^5=2^{2\cdot 5}=2^{10}$

${\left(2^5\right)}^5-2^{15}=2^{5\cdot 5}-2^{15}=2^{25}-2^{15}$

${\left({\left(-2\right)}^4\right)}^{-5}:{\left(2^{-10}\right)}^3={\left(-2\right)}^{4\cdot \left(-5\right)}:2^{-10\cdot 3}={\left(-2\right)}^{-20}:2^{-30}=2^{-20}:2^{-30}=2^{-20-\left(-30\right)}=2^{-20+30}=2^{10}$

$2\cdot 2^8+2\cdot 2^2=2^9+2^3$

$2^9+2\cdot 2^8=2^9+2^9=2\cdot 2^9=2^{10}$

 

 

$\underline{\underline{\text{odpowiedzˊ:}}}$

$2^3\cdot 2^2+2^5\sout{4^{-1}:{64}^{-2}}\sout{{0,25}^{-1}\cdot 4^4}\sout{1024}$

${\left(2^5\right)}^5-2^{15}{\sout{{\left(-2\right)}^4}}^{-5}:{\left(2^{-10}\right)}^{3}2\cdot 2^8+2\cdot 2^2\sout{2^9+2\cdot 2^8}$