If 2^{n + 2} – 2^{n + 1} + 2ⁿ = c × 2ⁿ, find the value of c.

Write the number of seconds in scientific notation.

In our own planet Earth, 361,419,000 square kilometre of area is covered with water and 148,647,000 square kilometre of area is covered by land. Find the approximate ratio of area covered with water to area covered by land by converting these numbers into scientific notation.

A light year is the distance that light can travel in one year.

1 light year = 9,460,000,000,000 km.

(a) Express one light year in scientific notation.

(b) The average distance between Earth and Sun is 1.496 × 10⁸ km. Is the distance between Earth and the Sun greater than, less than or equal to one light year?

Geometry Application : The number of diagonals of an n-sided figure is (n² –3n).

Use the formula to find the number of diagonals for a 6-sided figure (hexagon).