in this video we are going to review our exponent laws you should have used these laws last year as well the first one is the product of powers which states that if we when we're multiplying bases that are the same we will add the exponents when we're multiplying so for example if I had m to the 4 multiplied by m to the negative 3. we would add the exponents so before plus negative three which is equal to one so this would just be equal to M we could write the exponent one there but it's not it's an area our second law is quotient of powers so this States when we're dividing bases that are the same we will subtract the exponents so for example if I had m to the seven over m to the negative 2. we subtract the exponent so seven subtract negative two is the same thing as seven adding two or seven plus two so that's going to give us m to the exponent 9. our third exponent law is power of a power and we have a power of a power we multiply the exponents together so as an example m to exponent three raised to exponent 4 we would multiply the three and the four right do not add them it's not three plus four three times four so we have three sorry m to the exponent of 12. our fourth law is power of a product so if we have a product and we have that raised to an exponent M we need to apply the m to both the A and the B so this will equal am [Music] BM as an example let's say I had x y cubed that would be equal to X cubed y cubed and finally we have power of a quotient so like our last one if we have a quotient that's raised to an exponent of M we apply the m to both the numerator and the denominator and our denominator cannot equal zero as an example we have x y squared and that would equal x squared over y squared