Which one of the following is not equal to ${\left(\frac{100}{9}\right)}^{-3/2}$?

(a) ${\left(\frac{9}{100}\right)}^{3/2}$

(b) ${\left(\frac{1}{{\displaystyle \frac{100}{9}}}\right)}^{3/2}$

(c) $\frac{3}{10}\times \frac{3}{10}\times \frac{3}{10}$

(d) $\sqrt{\frac{100}{9}}\times \sqrt{\frac{100}{9}}\times \sqrt{\frac{100}{9}}$

How will you make the following multiplication easier by splitting 1009? Choose the most suitable option.
$123\times 1009$

$\frac{69}{1009}$ is a vulgar fraction.