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RATIONAL EXPONENTS

Learn the basics of rational exponents, including terminology and important examples with variables. Follow step-by-step instructions on substitution and evaluation, as well as properties of multiplication and division with exponents.

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RATIONAL EXPONENTS

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  1. RATIONAL EXPONENTS

  2. Basic Terminology EXPONENT means BASE Important Examples

  3. IMPORTANT EXAMPLES Variable Examples

  4. Variable Expressions

  5. Substitution and Evaluating STEPS Write out the original problem. Show the substitution with parentheses. Work out the problem. =64 More Examples

  6. Evaluate the variable expression when x = 1, y = 2, and w = -3 Step 1 Step 1 Step 1 Step 2 Step 2 Step 2 Step 3 Step 3 Step 3

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

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

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

  10. PRODUCT OF POWERS MULTIPLICATION PROPERTIES ADD THE EXPONENTS POWER TO A POWER MULTIPLY THE EXPONENTS SUMMARY POWER OF PRODUCT DISTRIBUTE THE EXPONENT

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

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

  13. DIVISION PROPERTIES Hard Example POWER OF A QUOTIENT Summary of Zero, Negative, and Division Properties

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

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