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Money Sets and Set Notation Square Root Rules Graphing Slope, Undefined Slope, Flat Slope Inverse Functions Introduction Area of a Pyramid Sample Standard DeviationWhat is an exponent?
An exponent is something that tells you how many times to multiply a number by itself in a sum.
An exponent can also be called an index or a power.
Exponents are placed to the top right of a base number. This base number is the number being
multiplied by itself a certain amount of times.
So an exponent, or power/index, often helps make life a bit easier when writing sums, and saves
having to do extra writing.
For example, 3 with an exponent/power of 2 is 3^{2}.
This 3^{2} is the same as
3 × 3. ( 3
multiplied by itself  2 times )
When a number is to the power of  2, this is called the "square" of a
number.
Also, 3 to the power 3 is 3^{3}.
Which is 3 × 3 × 3.
( 3 multiplied by itself 3 times )
When a number is to the power of  3, this is called the "cube" of a
number.
Any number to the with an exponent/index of 1, is just the number itself.
Any number with a zero exponent, with the exception of zero itself, is 1.
0^{0} is something that
actually still seems to be a matter of debate, as things stand it's technically undefined.
Care does sometimes have to be taken when dealing with exponents of negative numbers.
Keep an eye out for brackets.
Examples (2.1) and (2.2) demonstrate that it matters if the negative base number is in brackets or not, and also whether or not the exponent/index is an odd number or an even number.
Things work slightly differently with exponents examples when there is a negative exponent.
Instead of only multiplying the base number a certain amount of times, a negative
exponent/index represents dividing 1 by the relevant multiplication.
Exponents examples involving 10 as the base number crop up fairly frequently in Math and
other Scientific subjects.
Where 10 is multiplied by itself a number of times.
It works out that a positive exponent number of 10 , in fact tells us how many 0 's
come after the 1 in the whole number result.