bentuk sederhana dari (32)pangkat negatif 3/5 × (negatif27)pangkat 1/3

Bentuk sederhana pecahan :

[tex] = {32}^{ - \frac{3}{5} } \times ( - 27^{ \frac{1}{3} } ) \\ = ( {2}^{5} ) ^{ - \frac{3}{5} } \times ( { - 3}^{3} )^{ \frac{1}{3} } \\ = {2}^{ - 3} \times ( - 3) \\ = \frac{1}{ {2}^{3} } \times ( - 3) \\ = \frac{1}{8} \times ( - 3) \\ = - \frac{3}{8} [/tex]

[tex] {32}^{ - \frac{3}{5} } \times {( - 27)}^{ - \frac{1}{3} } \\ = \frac{1}{ {32}^{ \frac{3}{5} } } \times \frac{1}{ {27}^{ \frac{1}{3} } } \\ = \frac{1}{ { {(2}^{5}) }^{ \frac{3}{5} } } \times \frac{1}{ { {3}^{3} }^{ \frac{1}{3} } } \\ = \frac{1}{ {2}^{3} } \times \frac{1}{ {3}^{1} } \\ = \frac{1}{8} \times \frac{1}{3} \\ = \frac{1}{24} \: atau \: = {24}^{ - 1} [/tex]