Odpowiedź :
Odpowiedź:
[(⁵√3)¹¹ * (1/81)⁻⁵]/(9 * ⁴√27)⁶ = [(3¹⁾⁵)¹¹ * 81⁵)/(3² * 27¹⁾⁴)⁶ =
= [(3¹¹⁾⁵ * (3⁴)⁵]/[3² * (3³)¹⁾⁴]⁶= (3¹¹⁾⁵ * 3²⁰)/[3² * 3³⁾⁴]⁶ = 3²⁰⁺²'²/(3²⁺³⁾⁴)⁶ =
= 3²²'²/(3²'⁷⁵)⁶ = 3²²'²/3¹⁶'⁵ = 3²²'²⁻¹⁶'⁵ = 3⁵'⁷
Odpowiedź:
[tex]\dfrac{(\sqrt[5]{3})^2*(\frac{1}{81})^{-5}}{(9*\sqrt[4]{27})^6}=\dfrac{(3^{\frac{1}{5}})^{11}*81^5}{(3^2*\sqrt[4]{3^3})^6}=\dfrac{3^{\frac{11}{5}}*(3^4)^5}{(3^2*3^{\frac{3}{4}})^6}=\dfrac{3^{\frac{11}{5}}*3^2^0}{(3^{2+\frac{3}{4}})^6}=\dfrac{3^{\frac{11}{5}+20}}{(3^\frac{11}{4})^6}}=\\\\\\=\dfrac{3^{\frac{111}{5}}}{3^{\frac{33}{2}}}=3^{\frac{111}{5}-\frac{33}{2}}=3^{\frac{222}{10}-\frac{165}{10}}=3^{\frac{57}{10}}[/tex]