By Skyler Middleton
When you multiply numbers with exponents that has the same base, you add the exponents together and keep the same base.
When you divide numbers with exponents that have the same base, you subtract the bottom exponent from the top exponent and keep the same the same base.
When you are distributing an exponent into a number with an exponent, you multiply the exponents together. You don't keep the same base unless it's a variable because the number is also affected by the exponent.
When you end up with a negative exponent, you need to make it positive by moving it to the denominator. If it's already positive, it stays in the numerator.