Math Homework. Do It Faster, Learn It Better.
Product of Powers Property
How do you simplify ?
If you recall the way exponents are defined, you know that this means:
If we remove the parentheses, we have the product of eight , which can be written more simply as:
This suggests a shortcut: all we need to do is add the exponents!
In general, for all real numbers , , and ,
To multiply two powers having the same base, add the exponents.