Question

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Answer 1

$\Large\boxed{\boxed{\boxed{{Ola\´\ }}}}}$

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a)

$\sf {( - 3)}^{ - 1} + {( - 1)}^{ - 3} \\ \\ \sf {- 3}^{ - 1} - {1}^{ - 3} \\ \\ \sf- \frac{1}{3} - {1}^{ - 3} \\ \\ \sf- \frac{1}{3} - 1 \\ \\ \sf - \frac{1 + 3}{3} \\ \\ \large\boxed{{\sf \blue- \frac{ \blue4}{ \blue3} {}}}$

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b)

$\sf { 2}^{ - 4} - {2}^{2} \\ \\ \sf \frac{1}{ {2}^{4} } - {2}^{2} \\ \\ \sf \frac{1}{ {2}^{4} } - 4 \\ \\\sf \frac{1}{ 16} - 4 \\ \\\sf \frac{1 - 64}{16} \\ \\ \large\boxed{{\sf \blue - \frac{ \blue6 \blue3}{ \blue1 \blue6} {}}}$

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c)

$\sf {( {4}^{ - 2} + {2}^{ - 3} )}^{ - 1} \\ \\ \sf {( {2}^{ - 4} + {2}^{ - 3} )}^{ - 1} \\ \\ \sf {( {2}^{ - 4} + \frac{1}{ {2}^{3} } )}^{ - 1} \\ \\ \sf {( \frac{1}{ {2}^{4} } + \frac{1}{ {2}^{3} } )}^{ - 1} \\ \\ \sf {( \frac{1}{ 16 } + \frac{1}{ 8} )}^{ - 1} \\ \\ \sf {( \frac{3}{ 16 } )}^{ - 1} \\ \\ \large\boxed{{\sf \frac{ \blue1 \blue6}{ \blue3} {}}}$

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d)

$\sf {( {6}^{ - 2} \times {3}^{2} )}^{ - 1} \\ \\ \sf {( \frac{1}{ {6}^{2} } \times {3}^{2} )}^{ - 1} \\ \\ \sf {( \frac{1}{ {2}^{2} \times {3}^{2} } \times {3}^{2} )}^{ - 1} \\ \\ \sf {( \frac{1}{ {2}^{2} } )}^{ - 1} \\ \\ \sf {( \frac{1}{ 4 } )}^{ - 1} \\ \\\large\boxed{{\sf \blue4 {}}}$