2.3 More on Laws of

Exponents

2.3 ObjectivesO To model behavior of exponents

using function machinesO To understand and apply the

quotient laws of exponentsO 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 32

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