What are Exponents?
The mathematical shorthand that indicates us to multiply the number by itself for a specific number of times. When writing an exponent, we first write the number that is being multiplied, which is known as the base. Next, we mention the number of times it is being multiplied as the superscript. That means instead of writing 4 x 4 x 4 x 4 x 4, we can simply write 45.
When considering exponents for the real number m,n, and the bases a,b, we have to follow some rules. These rules are mentioned as:
Law 1: am x an = a(m + n) - When applying this law, note that the bases of both the numbers considered in multiplication need to be the same.
Law 2: am/ an = a (m + n) - in this law, if we consider m= 1 and n =1, we can get
a1 / a1 = a (1 - 1): a/ a = a0 : a0 = 1.
Law 3: (am)n = amn = (an)m.
Law 4: (ab)n = anbn.
The general rule for making an estimation in mathematics is to look at the digit that is right after the digit you want to estimate, if it is greater than 5 round it up, if it is less than 5 round it down.