Negative And Fractional Exponents Assignment Help

Introduction to Negative and Fractional Exponents:

Negative Exponent: Negative exponents are a type of the exponential forms. The exponents are also in simpler words the 'power' to which expressions are raised to. Like a2 is 'a' multiplied with itself for 2 times. A number raised to a negative fractional exponent has been defined to be the reciprocal of that number with a positive fractional exponent. When exponents are negative exponents, it means that they are placed in the denominator of a fraction. a(-2) is nothing but 1/a2

For Example: [12]−4 = 1[12]4=24

x - n = 1/xn

Properties - Multiplying Negative Exponent:

Multiplying Two Negative Exponent Form of Number:

(a-m) and (a-n)

(a-m) * (a-n) = a(-m + (-n))

Fractional Exponents

The exponents are nothing but a short way of representing a number and are basically the number of times the base is multiplied by itself. In some cases the operator ^ is also used to represent an exponent. A fractional exponent means the power that we raise a number to be a fraction.

Let us take x = 4

now, raise both sides to the power 12

x12 = 412

x12 = 2

Now, here x is called as base and 12 is called as fractional exponent.