Rational Exponents

  • Simplify each expression using the rules of exponents and examine the steps you are taking.
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.
    • Principal root
    • Product rule
    • Quotient rule
    • Reciprocal
    • nth root

    Rational Exponents
    Write each radical expression using exponent notation.




    Simplify each expression. Write your answers with positive exponents. Assume that all variables represent positive real numbers.


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    Adding and Subtracting Radicals
    All variables in the following exercises represent positive numbers. Simplify the sums and differences. Give exact answers.


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