zapisz w postaci jednej potegi (16 do potegi -2 : 4 do potegi-8) * 8 do potegi4

[latex] frac{16^{-2}}{4^{-8} } cdot 8^4= frac{ frac{1}{16^2} }{ frac{1}{4^8} } cdot 8^4= frac{4^8}{16^2} cdot 8^4= frac{(2^2)^8}{(2^4)^2} cdot (2^3)^4 = frac{2^{16}}{2^8} cdot 2^{12}=2^8 cdot 2^{12}=2^{20}[/latex]

[latex](16^{-2}:4^{-8})*8^4=((2^4)^-^2*4^8)*2^3)^4=(2^-^8*4^8)*12^1^2=\\=(2^-^8*(2^2)^8)*2^1^2=(2^-^8*2^1^6)*2^1^2=2^-^8^+^1^6*2^1^2=\\=2^8*2^1^2=2^8^+^1^2=2^2^0[/latex]