Question

(3/5)^45. (5/3)^44 =

Answer 1

\(\left(\dfrac{3}{5}\right)^{45}\cdot\left(\dfrac{5}{3}\right)^{44}=\left(\dfrac{3}{5}\right)^{44}\cdot\left(\dfrac{5}{3}\right)^{44}\cdot\dfrac{3}{5}\)

\(=\left(\dfrac{3}{5}\cdot\dfrac{5}{3}\right)^{44}\cdot\dfrac{3}{5}=\dfrac{3}{5}\)

Answer 2

(3/5)^45.(5/3)^45 

= 3/5 . (3/5)^44 . (5/3)^44 

= 3/5 . 1^44

= 3/5 . 1

= 3/5