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Question
Simplify:
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\]
Sum
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Solution
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\] `=(1/(1/3)^3-1/(1/2)^3)div1/(1/4)^3` `->(a^(-n)=1/(a^n))`
`=(1/(1/27)-1/(1/8))div1/(1/64)`
`=(27/1-8/1)div64`
`=(19)xx1/64`
`=19/64`
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