Question

pls tell answer fast plsplspls
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Answer 1

Answer:

Ans: 30

Step-by-step explanation:

$(2^{-1}-3^{-1})^{-1} +(6^{-1}-8^{-1})^{-1}\\\\=(\frac12 -\frac13)^{-1} + (\frac16 -\frac18)^{-1} \\\\=(\frac{3-2}{3\times 2})^{-1} + (\frac{8-6}{8\times 6})^{-1} \\\\=( \frac16)^{-1}+( \frac{1}{24})^{-1}\\\\=6+24\\\\\bf =30$

Answer 2

Given : $\sf{Expression = \bigg( (2^{-1} -3^{-1})^{-1} + ( 6^{-1} - 8^{-1} )^{-1}\bigg)}$

To Simplify : $\sf{\bigg( (2^{-1} -3^{-1})^{-1} + ( 6^{-1} - 8^{-1} )^{-1}\bigg)}$

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⠀⠀⠀⠀⠀ $\bf{\star \:Expression = \bigg( (2^{-1} -3^{-1})^{-1} + ( 6^{-1} - 8^{-1} )^{-1}\bigg)}$

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Solving \: the \: Given \: Expression \::}}$

$\sf{Expression = \bigg( (2^{-1} -3^{-1})^{-1} + ( 6^{-1} - 8^{-1} )^{-1}\bigg)}$

$:\implies \sf{ \bigg( (2^{-1} -3^{-1})^{-1} + ( 6^{-1} - 8^{-1} )^{-1}\bigg)}$

As, We know that ,

• $a^{-1}= \dfrac{1}{a}$

$:\implies \sf{ (2^{-1} -3^{-1})^{-1} + ( 6^{-1} - 8^{-1} )^{-1}}$

$:\implies \sf{ \bigg(\dfrac{1}{2} -\dfrac{1}{3}\bigg)^{-1} + \bigg( \dfrac{1}{6} - \dfrac{1}{8} \bigg)^{-1}}$

$:\implies \sf{ \bigg(\dfrac{3 - 2}{6} \bigg)^{-1} + \bigg( \dfrac{4 - 3}{24} \bigg)^{-1}}$

$:\implies \sf{ \bigg(\dfrac{1}{6} \bigg)^{-1} + \bigg( \dfrac{1}{24} \bigg)^{-1}}$

As, We know that ,

• $\bigg(\dfrac{1}{a}\bigg)^{-1}= a$

$:\implies \sf{ \bigg(\dfrac{1}{6} \bigg)^{-1} + \bigg( \dfrac{1}{24} \bigg)^{-1}}$

$:\implies \sf{ 6 + 24 }$

$:\implies \bf{\underline {Answer\:= 30} }\bigstar$

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