product of powers propertywhen multiplying two powers with the same base, just add the exponentsquotienta result obtained by dividing one quantity by anotherquotient of powers propertywhen dividing two powers with the same base, just subtract the exponentspower of a powerwhen you take an expression that is already raised to an exponent and raise it to yet another exponentexponential notationa mathematical method for writing long multiplication problems in a simplified mannerbasea factor in exponential notationexponentthe number of times the factor is used in the multiplication in exponential notationpowerrefers to the exponent in exponential notation