SOLUTION: How do you simplify a cube of x to the fifth power

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Question 69022: How do you simplify a cube of x to the fifth power
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The cube of x is written %28x%5E3%29
Raising this to the 5 power is written as %28x%5E3%29%5E5
Notice that %28x%5E3%29%5E5 represents x%5E3%29 multiplied by itself 5 times ... or:
x%5E3*x%5E3*x%5E3*x%5E3*x%5E3
and we multiply common terms with exponents by adding the exponents to get:
x%5E3*x%5E3*x%5E3*x%5E3*x%5E3 = x%5E%283%2B3%2B3%2B3%2B3%29
which simplifies to x%5E15
The shorthand way of doing this is to use the rule that when a term with an exponent is raised to another exponent, you multiply the two exponents. In this case:
%28x%5E3%29%5E5
is found by multiplying the 3 by the 5 to get x%5E15
Hope this helps you to understand exponents a little more.