Question

256^0.75 * 243^-0.4- 27^-2/3*8^1/3+289^0.5

Answer 1

$256^{0,75}cdot 243^{-0,4}- 27^{-frac{2}{3}}cdot8^frac{1}{3}+289^{0,5}=\ \ =(4^4)^frac{3}{4}cdot (3^5)^{-0,4}- (3^3)^{-frac{2}{3}}cdot(2^3)^frac{1}{3}+(17^2)^{0,5}=\ \ =4cdot3^{-2}-3^{-2}cdot 2+17=frac{1}{9}cdot2+17=17frac{2}{9}$