any number x and any integers a and b, (x^a)(x^b)=x^a+b
To multiply exponential terms with the same base, add the exponents.
When we are reading mathematical rules, we have to becautious . For example, when using the product rule, you may only apply it when the terms being multiplied have the same base and the exponents are integers. Conditions on mathematical rules are often given before the rule is stated, as in this example it says “For any number x, and any integers a and b.”
