Evaluate( (1/3)-1-(1/4)-1)-1
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Posted by Anushree Mishra 3 months, 2 weeks ago
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Preeti Dabral 3 months, 2 weeks ago
{tex}{\left\{ {{{\left( {\frac{1}{3}} \right)}^{ - 1}} - {{\left( {\frac{1}{4}} \right)}^{ - 1}}} \right\}^{ - 1}}{/tex}
{tex} = {\left( {\frac{{{1^{ - 1}}}}{{{3^{ - 1}}}} - \frac{{{1^{ - 1}}}}{{{4^{ - 1}}}}} \right)^{ - 1}} = {\left( {\frac{{{3^1}}}{{{1^1}}} - \frac{{{4^1}}}{{{1^1}}}} \right)^{ - 1}}{/tex}
{tex} = {\left( {\frac{3}{1} - \frac{4}{1}} \right)^{ - 1}}{/tex} = (3 – 4)–1
{tex} = {( - 1)^{ - 1}} = \frac{1}{{{{( - 1)}^1}}}{/tex}
{tex} = \frac{1}{{( - 1)}} = - 1{/tex}
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