Question

(3/5)^3 multiplied by (1/7)^3 divided by (3/5)^2 multiplied by (1/7)^4

Answer 1

$\frac{\frac{3^{3} }{5^{3}}*\frac{1^3}{7^3}}{\frac{3^2}{5^2}*\frac{1^4}{7^4}}$

${\frac{3^{3-2} }{5^{3-2}}*\frac{1^{3-4}}{7^{3-4}}$

${\frac{3^{1} }{5^{1}}*\frac{1^{-1}}{7^{-1}}$

$\frac{{\frac{3^{1} }{5^{1}}}{\frac{1^{1}}{7^{1}}}$

${\frac{3*7}{5}$

${\frac{21}{5}$

Answer 2

(3/5) raise to power 3 = 27/125
(1/7) raise to power 3 = 1/343
(3/5) raise to power 2 = 9/25
(1/7) raise to power 4 = 1/2401

(3/5) raise to power 3 * (1/7) raise to power 3 = 27/42875
(3/5) raise to power 2  * (1/7) raise to power 4 =9/60025
( 27 / 42875 )/ (9 / 60025) = 21/5