Exponents and Powers
Exponential form is a form involving two numbers written as an, where a is the base and n is the exponent.
Powers are a short way which shows, how many times a number is multiplied by itself.
In general for any non – zero integer ‘a’, a-m = 1/am, where m = positive integer, a-m is the multiplicative inverse of am.
Laws of exponents:
(i) am × an = a(m + n)
(ii) am ÷ an = a(m - n)
(iii) (am)n = amn
(iv) am × bm = (ab)m
(v) a0 = 1
(vi) am / bm = (a/b)m
When a number is multiplied with itself thrice, the product so obtained is called the cube of the number.
Consider a number an, where a is any number. Here, n is called the exponent.
A mathematical expression an, where a is any number, is called an exponential expression.
Powers are a short way which shows, how many types a number is multiplied by itself.
When a number is multiplied with itself, the product so obtained is called the square of the number.
A number expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10 is said to be in standard form. Standard form is also known as scientific notation.