Laws of exponentsExponential notation is a short way of writing the same number multiplied by itself many times. We will now have a closer look at writing numbers using exponential notation. Exponents can also be called indices.

For any real numberaand natural numbern, we can write a multiplied by itselfntimes asan.Identity 11. an=aaaa(ntimes)(aR,nN)2. a0=1(a0because00is undefined)3. an=1an(a0because10is undefined)Examples:1. 33=322. 5555=543. ppp=p34. (3x)0=15. 24=124=1166. 15x=5x