Oblicz, jakim procentem liczby a jest liczba b, jeżeli : a=(1/3)do potęgi -1 * 9do potęgi -1 +(1/2)do potęgi -1 * 4do potęgi -1, b= 6do potęgi -3 * (1/6) do potęgi -3 / (2/3) do potęgi -3 .   Pilne!!

a = (1/3)^(-1) * 9^(-1) *(1/2)*(-1) * 4^(-1) =   = 3*(1/9) *2*(1/4) = (3/9)*(2/4) = (1/3)*(1/2) = 1/6 b = 6^(-3) *(1/6)^(-3) - 3/[ (2/3)^(-3) ] = = [ 1/6^3] * 6^3 - 3 / [(3/2)^3] = = [ (1/6)*6]^3 - 3 /[27/8] = = 1^3 - 3 *[8/27] = 1 - 8/9 = 9/9 - 8/9 = 1/9 a = 1/6 b = 1/9 b/a = (1/9) : ( 1/6) = (1/9)*(6/1) = 6/9 = 2/3 b/a = 2/3 = 0,6666666666666... = 0,666(6) = 66,(6 ) % = około 66,7 %

[latex]a) frac{1}{3}^{-1} * 9^{-1} +frac{1}{2}^{-1} * 4^{-1} = 3 * frac{1}{9} +2*frac{1}{4} = frac{2}{6} +frac{3}{6} = frac{5}{6} \ b) frac{6^{-3} * frac{1}{6}^{-3}} {frac{2}{3}^{-3}} = frac {frac{1}{216} * frac{216}{1}}{frac{2}{3}^{-3}} {frac{27}{8} = 1 * frac{8}{27} = frac{8}{27} \ [/latex] [latex] proporcje: \ frac{5}{6} - 100 \% \ frac{8}{27} - x równanie proporcji: x = frac {frac{8}{27} * 100} {frac{5}{6} = 36,30 % \ [/latex]