Basic Terminology BASE EXPONENT means Important Examples

IMPORTANT EXAMPLES Variable Examples

Variable Expressions

MULTIPLICATION PROPERTIES PRODUCT OF POWERS This property is used to combine 2 or more exponential expressions with the SAME base.

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MULTIPLICATION PROPERTIES POWER TO A POWER This property is used to write and exponential expression as a single power of the base.

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MULTIPLICATION PROPERTIES POWER OF PRODUCT This property combines the first 2 multiplication properties to simplify exponential expressions.

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MULTIPLICATION PROPERTIES SUMMARY PRODUCT OF POWERS POWER TO A POWER POWER OF PRODUCT ADD THE EXPONENTS MULTIPLY THE EXPONENTS

ZERO AND NEGATIVE EXPONENTS ANYTHING TO THE ZERO POWER IS 1 A negative exponents just means the exponent is on the wrong side of the fraction line, so you need to flip the base to the other side.

ZERO AND NEGATIVE EXPONENTS ANYTHING TO THE ZERO POWER IS 1.

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DIVISION PROPERTIES QUOTIENT OF POWERS This property is used when dividing two or more exponential expressions with the same base.

DIVISION PROPERTIES POWER OF A QUOTIENT Hard Example Summary of Zero, Negative, and Division Properties Distribute the exponent to all of the numbers and variables inside the parentheses first, then simplify if possible.

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ZERO, NEGATIVE, AND DIVISION PROPERTIES Zero power Negative Exponents Quotient of powers Power of a quotient