MCQ
Fill in the blanks
$(0.000729)^{\frac{-3}{4}}\times(0.09)^{\frac{-3}{4}}=\text{_____.}$
  • A
    $\frac{10^3}{3^3}$
  • B
    $\frac{10^5}{3^5}$
  • C
    $\frac{10^2}{3^2}$
  • $\frac{10^6}{3^6}$

Answer

Correct option: D.
$\frac{10^6}{3^6}$

$(0.000729)^{\frac{-3}{4}}\times(0.09)^{\frac{-3}{4}}$
$\Rightarrow(3^8\times10^{-8})^{\frac{-3}{4}}$
$\Rightarrow\frac{10^6}{3^6}$

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