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Question

${{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}} + {(\frac{1}{4})}^{- 3} =$ ?

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Solution

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${(\frac{1}{3})^{- 3} - (\frac{1}{2})^{- 3}} + (\frac{1}{4})^{- 3}$

$\Rightarrow {3^{3} - 2^{3}} + (4)^{3}$

$\Rightarrow 27 - 8 + 64$

$\Rightarrow 19 + 64 = 83$

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