Oblicz potęgi a)3do potęgi 1/3 * 9do potęgi 1/3 b) 16do potęgi -1/4 c) 27 do potęgi 1/8 d)2*16do potęgi-1,5*32do potęgi 1,2

[latex]3^{frac13}*9^{frac13} = (3*9)^{frac13} = 27^{frac13} = sqrt[3]{27} = 3\\16^{-frac14} = frac{1}{16^{frac14}} = frac{1}{sqrt[4]{16}} = frac{1}{2}\\27^{frac18} = sqrt[8]{27}approx1,51\\2*16^{-1,5}*32^{1,2} = 2*frac1{16^{frac32}}*(2^5)^{frac65} = 2*frac1{(2^4)^{frac32}}*2^6 = frac{2^7}{2^6} = 2^{7-6} = 2[/latex]