Evaluate - 1 3 - 3 - 1 2 - 3- - 1 4 - 3

[(13)^ 3 (12)^ 3]÷(14)^ 3=[3^3 2^3]÷ (4)^3=1964 ...

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Standard IX

Mathematics

Quotient Law

Evaluate [ ...

Question

Evaluate
$[{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}] \div {(\frac{1}{4})}^{- 3}$

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Solution

$[(\frac{1}{3})^{- 3} - (\frac{1}{2})^{- 3}] \div (\frac{1}{4})^{- 3} = [3^{3} - 2^{3}] \div (4)^{3} = \frac{19}{64}$

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Evaluate [(13)−3−(12)−3]÷(14)−3

[(13)−3−(12)−3]÷(14)−3=[33−23]÷(4)3=1964

Evaluate
$[{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}] \div {(\frac{1}{4})}^{- 3}$

$[(\frac{1}{3})^{- 3} - (\frac{1}{2})^{- 3}] \div (\frac{1}{4})^{- 3} = [3^{3} - 2^{3}] \div (4)^{3} = \frac{19}{64}$