Question

$\frac{(5 ^{6}) ^{2} *3 ^{14} }{15 ^{13} }$ ;
$\frac{(3 ^{2}) ^{5} *3 ^{7} }{(3 ^{5} ) ^{3} }$

Answer 1

$\frac{(5^{6})^{2}*3^{14}}{15^{13}} = \frac{5^{12}*3^{14}}{5^{13}*3^{13}} = \frac{3}{5} =0,6 \\ \frac{(3^{2})^{5}*3^{7}}{(3^{5})^{3}} =\frac{3^{10}*3^{7}}{3^{15}} =\frac{3^{17}}{3^{15}} =3^{2}=9$

Answer 2

$\frac{(5 ^{6}) ^{2} *3 ^{14} }{15 ^{13} } = \frac{5^{12} *3 ^{14} }{5 ^{13}*3 ^{13} } = \frac{1*3}{5*1} = \frac{3}{5} = \frac{6}{10} =0.6$

$\frac{(3 ^{2}) ^{5} *3 ^{7} }{(3 ^{5} ) ^{3} } = \frac{3 ^{10} *3 ^{7} }{3 ^{15} } = \frac{3 ^{1} *3 ^{7} }{3 ^{5} } =3 ^{2} =9$