Exponents with Fractions

The exponents with the fraction are also called the radicals. These are the exponents that have a fraction of their power. The square root, cube root, nth root, and others all are called exponents with fractions.

We represent the fraction exponents as,

Square Root = √()

Cube Root = ³√()

nth Root = ⁿ√()

Now the fraction exponent is solved in two parts in the first part we solve the denominator and then solve the numerator, this is represented as,

x^n/m = {(x)^1/m}ⁿ

here, we first solve (x)^1/m and then take its n^th power to get the final answer. This can be understood by the example added below,

Example: Simplify 4^3/2

Solution:

= 4^3/2

= (4^1/2)³

= 2³ = 8

Exponents

Exponents are the basic concept used in mathematics that are helpful in solving and understanding very large numbers. Suppose we have to simplify a very large number such as 10 multiplied by itself 10 times then the number is represented as, 10¹⁰which is a very easy way of representing the numbers. Exponent is also called the power of a number. The exponent of the number can be integers or fractions, The fraction exponent is also called the radical.

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