Given nbsp; (3^ 1×4^ 1)÷6^ 1 =(13×14 )÷16[∵ a^ m=1a^m ] =(13×14 )×61 [Multiplicative inverse] =112×61=12 Hence, the value of given expression is 12. ...

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Byju's Answer

Standard XII

Mathematics

Quotient Rule of Differentiation

Evaluate:3-1×...

Question

Evaluate:
$(3^{- 1} \times 4^{- 1}) \div 6^{- 1}$

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Solution

$Given (3^{- 1} \times 4^{- 1}) \div 6^{- 1} = (\frac{1}{3} \times \frac{1}{4}) \div \frac{1}{6} [∵ a^{- m} = \frac{1}{a^{m}}] = (\frac{1}{3} \times \frac{1}{4}) \times \frac{6}{1} [Multiplicative inverse] = \frac{1}{12} \times \frac{6}{1} = \frac{1}{2} Hence, the value of given expression is \frac{1}{2}$ .

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