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**Properties of Exponents**

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**To multiply terms with the same base, add the exponents.**

Product of Powers To multiply terms with the same base, add the exponents. Example: 73 x 78 = 73+8 = 711

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**To divide terms with the same base, subtract the exponents.**

Quotient of Powers To divide terms with the same base, subtract the exponents. Example: 108 = = 105 103

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**To raise a power to a power, multiply the exponents.**

Power of Powers To raise a power to a power, multiply the exponents. Example: (52)6 = 52x6 = 512

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**Power of a Product Example:**

To multiply terms with different bases raised to the same power, multiply first and raise the product to the given power. Example: 23 x 33 = (2 x 3)3 = 63

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**( ) Power of a Quotient = = Example:**

To divide terms with different bases raised to the same power, raise both numerator and denominator to the power. Example: ( ) 4 16 2 42 = = 92 81 9

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**Raising a base (other than zero) to the zero power equals one.**

Zero Exponents Raising a base (other than zero) to the zero power equals one. Example: 1000 = 1

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**Negative Exponents Example:**

Raising a base to a negative power equals the reciprocal of the base raised to the absolute value of the power. Example: 1 4-9 = 49

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**Bell Ringer/ Flashback**

Complete the following table. (NO CALCULATOR) Exponential Form Expanded Form Standard Form 53 7 x 7 x 7 x 7 36 2 x 2 x 2 x 2 x 2 x 2

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**Assignment Using what you know about Product of Powers,**

solve the expressions on your practice sheet.

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