\(=\dfrac{15}{14}\times\dfrac{15}{14}\times\dfrac{16}{15}\times\dfrac{17}{16}\times\dfrac{18}{17}=\dfrac{15}{14}\times\dfrac{18}{14}=\dfrac{135}{98}\)
\(\left(1+\dfrac{1}{14}\right)\left(1+\dfrac{1}{14}\right)\times\left(1+\dfrac{1}{15}\right)\times\left(1+\dfrac{1}{16}\right)\times\left(1+\dfrac{1}{17}\right)\)
\(=\dfrac{15}{14}.\dfrac{15}{14}.\dfrac{16}{15}.\dfrac{17}{16}.\dfrac{18}{17}\)
\(=\dfrac{15}{14}.\dfrac{18}{14}\)
\(\dfrac{135}{98}\)