Properties of ExponentsAugust 27th, 2013

Exponential Expressions in Expanded Form

Write Each Expression in expanded form

• -(a a) = -• 2• 2

• The base is 4y, and the exponent is 3.• 4y is a factor 3 times.

Product of Powers Property

• When multiplying two of the same bases, add the exponents.

• = • 16 64 = 1024• = 1024

• = – (x x x x x x) (x x)

Power to a Power Property

• When you have a power raided to another power, multiply the exponents.

• = •

• = –

Power of a Product Property

• You can “distribute” an exponent to other exponents.

• = • =

Try these…

Multi-step Problems

1)

2)

3)

Quotient of Powers Property

• When dividing two of the same bases, subtract the exponents.

Power of a Quotient Property

• You can “distribute” an exponent to all the other exponents in a fraction.

Negative Power of a Quotient Property

• If a fraction is raised to a negative exponent, flip the fraction and make the exponent positive.

• =

Try these…