Question

Write the multiplicative ${\left(\frac{-7}{13}\right)}^{-6}$ with a positive exponent and also with a negative exponent

Answer 1

${\left(\frac{-7}{13}\right)}^{-6}$

Positive exponent

${\left(\frac{13}{7}\right)}^6=\frac{(13{)}^6}{(-7{)}^6}=\frac{4826809}{-117649}$

Negative exponent

${\left(\frac{-7}{13}\right)}^{-6}=\frac{(-7{)}^6}{(13{)}^{-6}}=\frac{1/-118649}{1/4826809}$