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# Properties of Exponents PowerPoint PPT Presentation

Properties of Exponents. August 27 th , 2013. Exponential Expressions in Expanded Form. Write Each Expression in expanded form. The base is 4y, and the exponent is 3. 4y is a factor 3 times. -(a a) = - 2 2. Product of Powers Property.

Properties of Exponents

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## Properties of Exponents

August 27th, 2013

### Exponential Expressions in Expanded Form

Write Each Expression in expanded form

The base is 4y, and the exponent is 3.

4y is a factor 3 times.

• -(a a) = -

• 2

• 2

### Product of Powers Property

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

• =

• 16 64 = 1024

• = 1024

• =

• (xxx 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.

• =

• =

### 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.

• =