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,
xn/m = {(x)1/m}n
here, we first solve (x)1/m and then take its nth power to get the final answer. This can be understood by the example added below,
Example: Simplify 43/2
Solution:
= 43/2
= (41/2)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, 1010 which 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.
Table of Content
- What are Exponents?
- Exponents Formulas
- Laws of Exponents
- Exponents with Fractions
- Exponent Table