Hasil dari - Universityku

$(81 sqrt{3} ) {}^{ - frac{2}{3} }$
adalah…
a. 1/3
b. 1/9
c. 1/27
d. 3

Hasil dari

${(81 sqrt{3}) }^{ - frac{2}{3} } \ = frac{1}{ {(81 sqrt{3} )}^{ frac{2}{3} } } \ = frac{1}{ sqrt[3]{ {81}^{2} } sqrt[6]{ {3}^{2} } } \ = frac{1}{ sqrt[6]{ {81}^{4} } sqrt[6]{ {3}^{2} } } \ = frac{1}{ sqrt[6]{ {81}^{4} times {3}^{2} } } \ = frac{1}{ sqrt[6]{ {3}^{16} times {3}^{2} } } \ = frac{1}{ sqrt[6]{ {3}^{18} } } \ = frac{1}{ {3}^{3} } \ = frac{1}{27}$