Simplify1-6 -2-1-3-3-1-5-2

The correct option is A (3/5)^2 {1/6^( 2) 1/3^( 3)}÷ 1/5^( 2) ⇒{36 – 27}×1/25 ⇒9 ×1/25 ⇒9/25= (3/5)^2 ...

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Simplify1/6 |...

Question

Simplify
${\frac{1}{6^{(- 2)}} - \frac{1}{3^{(- 3)}}} \div \frac{1}{5^{(- 2)}}$

$(\frac{3}{5})^{2}$

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$(\frac{9}{25})^{2}$

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$(\frac{5}{3})^{2}$

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$(\frac{25}{9})^{2}$

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Solution

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\frac{3^{5} \times 3^{9}}{12}

{[\frac{- 1 + i \sqrt{3}}{2}]}^{6} + {[\frac{- 1 - i \sqrt{3}}{2}]}^{6} + {[\frac{- 1 + i \sqrt{3}}{2}]}^{5} + {[\frac{- 1 - i \sqrt{3}}{2}]}^{5} =

{[\frac{- 1 + i \sqrt{3}}{2}]}^{6} + {[\frac{- 1 - i \sqrt{3}}{2}]}^{6} + {[\frac{- 1 + i \sqrt{3}}{2}]}^{5} + {[\frac{- 1 - i \sqrt{3}}{2}]}^{5} =

Using appropriate properties, find:

i) $- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

\frac{2}{5} \times (\begin{matrix} - \frac{3}{7} \end{matrix}) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}

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