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SMK Teknologi dan Rekayasa

Soal 5 Perpangkatan


Nilai\ dari\ 27^{\frac{2}{3}} \times 32^{-\frac{4}{5}}= ....\\a.\ \ \frac{9}{32}\ \ \ \ \ \ b.\ \ \frac{9}{16}\ \ \ \ \ \ c.\ \ \frac{9}{15}\ \ \ \ \ \ d.\ \ \frac{9}{12}\ \ \ \ \ \ e.\ \ \frac{9}{10}
Jawaban: b
\begin{array}{rcl}27^{\frac{2}{3}}\times 32^{-\frac{4}{5}}&=&(3^{3})^{\frac{2}{3}}\times (2^{5})^{-\frac{4}{5}}\\\\&=&3^{3\times \frac{2}{3}}\times 2^{5\times (-\frac{4}{5})}\\\\&=&3^{2}\times 2^{-4}\\\\&=&3^{2}\times \frac{1}{2^{4}}\\\\&=&9\times \frac{1}{16}\\\\&=&\frac{9}{16}\end{array}

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