Planet of Exponents Handbook

The Product Rule

The product rule tells us when multiplying two powers that have the same base, you can ADD the exponents

Producer

How to NOT break the law:

A common mistake that tourists usually make is that they multiply the exponents instead of adding them! (You might make this mistake by thinking that because you multiply the bases, you multiply the exponents as well)

The Quotient Rule

The quotient rule tells us that when you divide two exponents with the same base, you keep the base and SUBTRACT the exponents (If the bases are different, then divide them as well)

How to NOT break the law:

A common mistake that is made is that you might try to divide the exponents instead of subtracting them! (I know it can be confusing but remember...

When multiplying, ADD the exponents!

When dividing, SUBTRACT the exponents!