Section 1: Basic Rules of Exponents
It Is Important That You Watch This Video First
Exponents are used to show repeated multiplication. For example, 43 means 4 · 4 · 4 = 64.
In this section, we will review basic rules of exponents.
Product Rule of Exponents aman = am + n
When multiplying exponential expressions that have the same base, add the exponents.
Multiply: 4x3 · −6x2
Multiply coefficients: 4 · −6 = −24
Use the product rule to multiply variables : x3 · x2 = x3 + 2 = x5
4x3 · −6x2 = −24x5
Quotient Rule of Exponents
When dividing exponential expressions that have the same base, subtract the exponents.
Divide coefficients: 8 ÷ 2 = 4
Use the quotient rule to divide variables :
Power Rule of Exponents (am)n = amn
When raising an exponential expression to a new power, multiply the exponents.
Each factor within the parentheses should be raised to the 2nd power:
(7a4b6)2 = 72(a4)2(b6)2
Simplify using the Power Rule of Exponents :
(7a4b6)2 = 72(a4)2(b6)2 = 49a8b12
Test Your Knowledge by opening up the Test Yourself Activity.