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Properties of Exponents

Description of the properties of exponents with examples.

KristenHalkias
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Properties of Exponents

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  1. Properties of Properties of Exponents Exponents

  2. Product of Like Bases When multiplying like bases, you add the exponents. When multiplying like bases, you add the exponents.

  3. Quotient of Like Bases Quotient of Like Bases When dividing like bases, subtract the exponents. When dividing like bases, subtract the exponents.

  4. Power of a Power Power of a Power When there is a term raised to a power in parenthesis raised When there is a term raised to a power in parenthesis raised to another power, multiply the exponents. to another power, multiply the exponents.

  5. Power of a Product Power of a Product When there is a product raised to a power, distribute the power When there is a product raised to a power, distribute the power to each factor to each factor

  6. Quotient to a Power Quotient to a Power When there is a quotient raised to a power, distribute the When there is a quotient raised to a power, distribute the exponent to the numerator and denominator. exponent to the numerator and denominator.

  7. Zero Exponent Property Zero Exponent Property Any term, other than zero, raised the the zero power, is one. Any term, other than zero, raised the the zero power, is one.

  8. Negative Exponent Property Negative Exponent Property When a term is raised to a negative power, use the reciprocal to When a term is raised to a negative power, use the reciprocal to make the exponent positive. make the exponent positive.

  9. When simplifying expressions When simplifying expressions involving more than one property, involving more than one property, follow the order of operation. follow the order of operation. Parenthesis Parenthesis Exponents Exponents Multiplication or Division (from left to right) Multiplication or Division (from left to right) Addition or Subtraction (from left to right) Addition or Subtraction (from left to right)

  10. BIG TEXT BIG TEXT

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