What is exponents ?

The exponent of a number tells that how many times we use that number in a multiplication.

For example,

5³ = 5 ⋅ 5 ⋅ 5

Here 5 is base and 3 is called as power or exponent.

How to write the given product in exponential form ?

a ⋅ a ⋅ a ⋅ a = a⁴ (The variable a is multiplied 4 times itself. So, we write a and write 4 in the power)

a ⋅ a ⋅ c ⋅ c ⋅ c = a² ⋅ c³ (The variable a is multiplied 2 times and c is multiplied two times).

What is radical ?

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol.

The exponential form of a n√a is a1/n

For example, ∛5 can be written in index form as

∛5  = 5 1/3

Basic Rules in Exponents and Radicals

Rules in Exponents :

x⋅ x =  x(m + n)

xm/x =  x(m – n)

(xm) =  xmn

x0  =  1

Rules in Radicals :

(n√a) =  a

n√a x n√b  =  n√(a x b)

 n√a / n√b  =  n√(a / b)

(n√a) =  am/n