\(\dfrac{1}{2}\) + \(\dfrac{1}{6}\) + \(\dfrac{1}{12}\) + \(\dfrac{1}{20}\) + \(\dfrac{1}{30}\)

=\(\dfrac{1}{1.2}\) + \(\dfrac{1}{2.3}\) + \(\dfrac{1}{3.4}\) + \(\dfrac{1}{4.5}\) + \(\dfrac{1}{5.6}\)

=\(\dfrac{1}{1}\) - \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{5}\) + \(\dfrac{1}{5}\) - \(\dfrac{1}{6}\)

=\(\dfrac{1}{1}\) - \(\dfrac{1}{6}\)

=\(\dfrac{5}{6}\)

1^st way: 2² x 2³ x 2⁴ x 2⁵

=2^{(2 + 3 + 4 + 5)}

=2¹⁴

=16384

2^nd way: 2² x 2³ x 2⁴ x 2⁵

=4 x 8 x 16 x 32

=16384