Exponent of Exponents

                                                                         EXPONENTS

When we calculate the exponent of some number that is already written as an exponent we have to multiply these two exponents in order to get the result. (I know that this explanation isn't very thorough, and is sort of confusing, so I've managed to make up an example to make it sound easier: 

1) (2^3)^2 = 2^3x2 = 2^6

                                                                               OR

2) (5^4) = 5^4x5 = 5^20

If instead of a real number we write an x, which is a variable, we will get the general rule that can be written as:

(x^m)^n = x^mxn

WARNING: Be careful, there is a BIG difference between example number 1 and the following example:


2^3 x 2^2 = 2^3+2 = 2^5 (INCORRECT)

I hope you learned something new!