First, there’s really no reason at all that one *has* to use exponents. If one has got loads of free time, could just write out 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 instead of 4^18.
Exponents are used all over the place in daily lives. They are used to specify very large numbers, e.g. Distance from Earth to moon is 384400000 meters or 3.844 X 10^8 meters. They are also used to specify very small numbers, e.g. Size of a water molecule is 0.000000000275 meters or 0.275 X (10)^(-9) meters.
- In business, people use exponents to describe how much wealth do the richest people have or in economics, the GDP of countries e.g. 2.26 Lakh Crore USD viz. 2.26 X 10^5 X 10^7 USD = 2.26 X 10^12 USD.
- They’re used to describe acid rain, and to determine whether it’s safe to go swimming in a swimming pool (you’ve probably heard your mother or father talk about the “pH” level of the water),
- Earthquakes (maybe you’ve heard of the Richter scale), how loud sound is (the “decibel” level), and how bright stars are (if you or any of your friends are interested in astronomy, you might have heard of the “magnitude” of a star or galaxy).
- How many ants can fit in 1 square kilometre area?
- Where would it be appropriate to use exponents? Distance from your home to school in _____
- no.of steps, (or)
- in km