Jawab:
[tex] \frac{ {9}^{ - \frac{2}{3} } \times {3}^{ - \frac{2}{3} } + {27}^{ - 1} }{ {27}^{ - \frac{4}{3} } + {81}^{ - \frac{3}{4} } } \\ = \frac{ ( {3}^{2} ) {}^{ - \frac{2}{3} } \times {3}^{ - \frac{2}{3} } + {( {3}^{3} )}^{ - 1} }{ {( {3}^{3}) }^{ - \frac{4}{3} } + {( {3}^{4}) }^{ - \frac{3}{4} } } \\ = \frac{ {3}^{ - \frac{4}{3} } \times {3}^{ - \frac{2}{3} } + {3}^{ - 3} }{ {3}^{ - \frac{12}{3} } + {3}^{ - \frac{12}{4} } } \\ = \frac{ {3}^{ \frac{ - 4 + ( - 2)}{3} } + {3}^{ - 3} }{ {3}^{ - 4} + {3}^{ - 3} } \\ = \frac{ {3}^{ - \frac{6}{3} } + {3}^{ - 3} }{ {3}^{ - 4} + {3}^{ - 3} } \\ = \frac{ {3}^{ - 2} + {3}^{ - 3} }{ {3}^{ - 4} + {3}^{ - 3} } \\ = ( \frac{1}{ {3}^{2} } + \frac{1}{ {3}^{3} }) \div ( \frac{1}{ {3}^{4} } + \frac{1}{ {3}^{3} } ) \\ = (\frac{1}{9} + \frac{1}{27} ) \div ( \frac{1}{81} + \frac{1}{27} ) \\ = ( \frac{3 + 1}{27} ) \div ( \frac{1 + 3}{81} ) \\ = \frac{4}{27} \div \frac{4}{81} \\ = \frac{4}{27} \times \frac{81}{4} \\ = \frac{324}{108} \\ = 3[/tex]
Jawaban akhir: 3
