Question

write the steps simplified of 13 square 1 by 3 by 13 square 1 by 3​

Answer 1

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: QUESTION \: \: \red{ \mid}}}}}}}}$


$\bold{ \: \: Write \: \: the \: \: simplifed \: \: form \: \: of \: \: \frac{(13) {}^{ \frac{1}{5} } }{(13) {}^{ \frac{1}{3} } } }$



$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: SOLUTION\: \: \red{ \mid}}}}}}}}$



$\underline{ \bold{To \: \: simplify \: \: the \: \: sum \: \: we \: \: have \: \: to}} \\ \underline{ \bold{use \: \: the \: \: following \: \:identities \: \: of \: \: }} \\ \underline{\bold{indices \: \: : }}$

$\boxed{ \bold{a {}^{m} \div a {}^{n} = a {}^{(m - n)}} } \: \: - - > \: \bold{ Identity \: \: no .\: (1)} \\ \\ \boxed{\bold{a {}^{ - m} = \frac{1}{a {}^{m}}} }\: \: - - > \: \bold{Identity \: \: no. \: (2) }$


$\bold{ \frac{(13) {}^{ \frac{1}{5} } }{(13) {}^{ \frac{1}{3} }}} \\ \\ = \bold{(13) {}^{ \frac{1}{5} } \div (13) {}^{ \frac{1}{3} } } \\ \\ \bold{ = (13) {}^{ \frac{1}{5} - \frac{1}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: [Using \: \: identity \: \: no. \:(1) \: \: } ]\\ \\ \bold{ = (13) {}^{ \frac{3 - 5}{15} } } \\ \\ \bold{ =( 13) {}^{ \frac{ - 2}{15} } } \\ \\ \bold{= \frac{1}{(13) {}^{ \frac{2}{15} } } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[ Using \: \: identity \: \: no. \: (2)}]$



$\boxed{ \boxed{ \bold{ \purple{ \: \frac{(13) {}^{ \frac{1}{5} } }{(13) {}^{ \frac{1}{3} } } = \frac{1}{(13) {}^{ \frac{2}{15} } } \: }}}}$

Answer 2

hope it's helpful to u.....