Question

${a}^{13} {b}^{7} \div {a}^{5} {b}^{ - 3}$
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Answer 1

Answer:

$\frac{ {a}^{13} {b}^{7} }{ {a}^{5} {b}^{ - 3} }$

$< ({x}^{m} {y}^{n}) = {(x \times y)}^{mn} >$

$\frac{ {(a \times b)}^{13 \times 7} }{ {(a \times b)}^{5 \times - 3} }$

$= > \frac{ {ab}^{91} }{ {ab}^{ - 15} }$

$< ( \frac{ {x}^{m} }{ {x}^{n}}) = {x}^{m - n} >$

$= > {ab}^{91 - ( - 15)}$

$= > {ab}^{91 + 15}$

$= > {ab}^{114}$