Exponents and Their Properties Section 5.1

Overview Multiplying Powers with Like Bases Dividing Powers with Like Bases Zero as an Exponent Raising a Power to a Power Raising a Quotient to a Power

Exponents If asked to “simplify” a problem, then write answer as one base to one power, if possible But if you have a both the base and power are numbers, then solve Base Power

Multiplying Powers with Like Bases Product Rule:

Multiplying Powers with Like Bases

Dividing Powers with Like Bases Quotient Rule – for any nonzero number a,

Dividing Powers with Like Bases

Zero as an Exponent The Exponent Zero – for any real number a, a≠0,

Zero as an Exponent

Raising a Power to a Power The Power Rule:

Raising a Power to a Power

Raising a Product to a Power

Raising a Quotient to a Power For any numbers a and b, b ≠ 0,

Definitions and Properties of Exponents