2.3 More on Laws of Exponents

2.3 Objectives O To model behavior of exponents using function machines O To understand and apply the quotient laws of exponents O To understand and apply the power of a power law of exponents

Working with Exponents O Input – 36 O Apply the machine ÷3 two times or 3 2

Quotient Law of Exponents Same Base, subtract the exponents when dividing. (subtract the denominator exponent from the numerator exponent) or

Do not cancel out the bases! not

Quotients – different bases Simplify the fraction before raising it to a power

Raising a Power to a Power Same as: Easier way:

Raising a Power to a Power Same as: Easier way:

The End of 2.3