Exponents are a mathematical way of expressing repeated multiplication of a number by itself. Instead of writing a number many times, we use a small number called the exponent to show how many times the base number is multiplied. Exponents help simplify large or very small numbers, making them easier to work with in science, mathematics, and everyday calculations. They are used in areas such as population growth, compound interest, and computer science, where quantities increase or decrease rapidly. Understanding exponents also lays the foundation for learning about powers, roots, and scientific notation.
(i) Exponential growth is repeated of constant value.
(ii) A new born bear weighs \(4\ kg\). How many \(kilo\ grams\) might a \(four\ year \) old bear weigh if its weight increases by the power of \(2\) in \(4\ years\)
(iii) The cells of a bacteria double in every \(30\ minutes\). A scientist begins with a single cell.
How many cells will be there after \(16\ hours\)
(iv) The cells of a bacteria double in every \(30\ minutes\). A scientist begins with a single cell.
How many cells will be there after \(29\ hours\)