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.


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