Question

( 3/2 ) ⁷ ÷ ( 7/2 ) ⁵ + 3/2

Answer 1

\(\left(\dfrac{3}{2}\right)^7:\left(\dfrac{7}{2}\right)^5+\dfrac{3}{2}\)

\(=\dfrac{3^7}{2^7}\cdot\dfrac{2^5}{7^5}+\dfrac{3}{2}\)

\(=\dfrac{3^7}{7^5\cdot2^2}+\dfrac{3}{2}\)

\(=\dfrac{3^7+3\cdot7^5\cdot2}{2^2\cdot7^5}\)

\(=\dfrac{103029}{67228}\)