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Mastering Exponent Rules: Quick Review and Application in Calculations

Explore rational and fractional exponents with power and root rules, learn how to handle negative exponents, and practice products, quotients, and powers. Delve into converting decimals to fractions and simplifying expressions while understanding the concept of rationalizing. Uncover tips for adding exponents and working with fractions efficiently.

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Mastering Exponent Rules: Quick Review and Application in Calculations

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  1. 7.4 Rational Exponents

  2. Fractional Exponents (Powers and Roots) “Power” “Root”

  3. Quick Review – Exponent Rules

  4. NEGATIVE EXPONENTRULE Upstairs – Downstairs: A negative exponent means it’s in the wrong place.

  5. PRODUCT OR POWERRULE HAVE TO HAVE THESAME BASE

  6. QUOTIENT OF POWERRULE HAVE TO HAVE THESAME BASE

  7. POWER OF POWERRULE (x4)³

  8. POWER OF PRODUCTRULE (2x4)⁵

  9. POWER OF A QUOTIENTRULE

  10. POWER OF QUOTIENT 2RULE

  11. RATIONAL EXPONENTRULE

  12. RADICAL TO EXPONENTRULE

  13. Let’s put a few ideas together Convert the decimal to a fraction

  14. EX - simplify Need to Rationalize! Remember: We are ADDING exponents here – what do we need to add fractions? How did we get to here???

  15. Let’s Try Some Hint: convert to a fraction rather than a decimal!

  16. Let’s Try Some

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