Question

\(\left(\dfrac{3}{5}\right)^6.\left(\dfrac{5}{3}\right)^3\)

Answer 1

= \(\dfrac{3^6}{5^6}\cdot\dfrac{5^3}{3^3}\)

= \(\dfrac{3^6\cdot5^3}{5^6\cdot3^3}\)

= \(\dfrac{3^3}{5^2}\)

= \(\dfrac{27}{25}\)

Answer 2

\(\left(\dfrac{3}{5}\right)^6.\left(\dfrac{5}{3}\right)^3\)

=>\(\dfrac{3^6.5^3}{5^6.3^3}=\dfrac{3^3}{5^3}=\dfrac{27}{125}\)

Answer 3

\(\left(\dfrac{3}{5}\right)^6.\left(\dfrac{5}{3}\right)^3=\dfrac{3^6.5^3}{5^63^3}=\dfrac{3^3}{5^3}=\dfrac{27}{125}\)