Understanding Exponential Form

Introduction to Standard Exponential Form

Notation : , where a is known as base and b is known as exponent which must be a positive and integral value.
Explanation of : The standard exponential form, can mathematically be expressed as multiplied by itself times. That is to say
. This yeilds a single number if we know the value of a and b.
eg. Assuming a = 2 and b = 3 , we can express = = = 8(as b = 3 so we multiply a = 2 with itself 3 times). Note that the answer 8 results in single number.
You can also get more details on cross multiplication

Sample Examples of the Exponential Form

1. = = (3 multiplied by itself 2 times)
2. = = (4 multiplied by itself 3 times)
[Note: Here in standard exponential form, if we assume a and/or b are variables, they do not yeild any number. Instead they remain in the variable format. like
3. = ( multiplied by itself 3 times)
4. = ( multiplied by itself a times) ]
[ Notes 2. If we take as a decimal value such as 0.3, it comes under the section of nth root of a number, while here we are discussing how to compute standard exponential form ]