Question

Answer 1

\(\left(\dfrac{5}{2}\right)^{18}:\left(1+\dfrac{3}{2}\right)^{17}\)

\(=\left(\dfrac{5}{2}\right)^{18}:\left(\dfrac{2}{2}+\dfrac{3}{2}\right)^{17}\)

\(=\left(\dfrac{5}{2}\right)^{18}:\left(\dfrac{5}{2}\right)^{17}\)

\(=\left(\dfrac{5}{2}\right)^{18-17}\)

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

Answer 2

\(=\left(\dfrac{5}{2}\right)^{18}:\left(\dfrac{5}{2}\right)^{17}=\left(\dfrac{5}{2}\right)^{18-17}=\dfrac{5}{2}\)