Question

3. Evaluate the following.
$( { \frac{ - 7}{5} })^{2} \times ({ \frac{ - 2}{7} })^{ - 2}$
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Answer 1

Answer:

${( \frac{49}{10} )}^{2}$

Answer 2

$\huge{ \boxed{ \fcolorbox{white}{pink}{Solution}}}$

$\large{ \red{( { \frac{ - 7}{5} })^{2} \times ({ \frac{ - 2}{7} })^{ - 2} }}$

$\large{ \blue{ = ( { \frac{ - 7}{5} })^{2} \times ({ \frac{7}{ - 2} })^{ 2} }} \: \: \: \: \: \: \boxed{ \because{( { \frac{a}{b}) }^{ - n} = ({ \frac{b}{a})}^{n} }}$

$\large{ \blue{ = ( { \frac{ - 7}{5} } \times { \frac{7}{ - 2} })^{ 2} }}$

$\large{ \blue{ = ( { \frac{ 7}{5} } \times { \frac{7}{ 2} })^{ 2} }}$

$\large{ \blue{ = ( { \frac{49}{10} )}^{2} }}$

$\large{ \color{teal}{ = \frac{2401}{100} }} \: \: \: \: \: \: \boxed{ \because{{ \frac{49}{10} } \times \frac{49}{10} }}$

Hope this helps