Exponential Numbers – Basic Level

‘Exponential numbers’ is one of the fundamental subjects in mathematics. Writing the product of real numbers with positive numbers as a^n is expressed as exponential numbers. The number ‘a’ is indicated here as the base number while ‘n’ is the number of exponents. Expressing exponents as a^n means multiplying n numbers of a.

Example:

5³ = 5 x 5 x 5

Rules of Exponential Numbers

∗The first power of all real numbers is itself.

So a¹ = a, 5¹ = 5

∗For every number except zero, a^0 is equal to 1.

5⁰ = 1

∗The power of the negative one is shown as a⁻¹ = 1/a

5^-2 = 1/5² = 1/25

∗ Power of power is calculated by multiplying the exponents.

(a^m)ⁿ = a^m.n,  (5³)²= 5^3×2= 5⁶