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SMK Teknologi dan Rekayasa

Kiat 2 – UN 2012 SMK Teknologi


INDIKATOR

Menentukan hasil operasi bilangan berpangkat dan bentuk akar, dan/atau logaritma

SOAL

Nilai\ \Big(\frac{1}{8}\Big)^{-\frac{4}{3}}\times 16^{\frac{1}{4}}\times 4^{-\frac{3}{2}}=....

A.\ \ \frac{1}{8}\ \ \ \ \ \ B.\ \ \frac{1}{4}\ \ \ \ \ \ C.\ \ 2\ \ \ \ \ \ D.\ \ 4\ \ \ \ \ \ E.\ \ 6

SOLUSI

\begin{array}{rcl}\Big(\frac{1}{8}\Big)^{-\frac{4}{3}}\times 16^{\frac{1}{4}}\times 4^{-\frac{3}{2}}&=&\Big(2^{-3}\Big)^{-\frac{4}{3}}\times \Big(2^{4}\Big)^{\frac{1}{4}}\times \Big(2^{2}\Big)^{-\frac{3}{2}}\\\\&=&2^{-3\times \big(-\frac{4}{3}\big)}\times 2^{4\times \frac{1}{4}}\times 2^{2\times \big(-\frac{3}{2}\big)}\\\\&=&2^4\times 2^1\times 2^{-3}\\\\&=&2^{4+1+(-3)}\\\\&=&2^2\\\\&=&4\end{array}

(Pilihan: D)

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Guru Matematika SMK

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