Rational (Fraction) Exponent Operations The same operations of when to multiply, add, subtract exponents apply with rational (fraction) exponents as did with integer (whole) exponents Hint: Remember how to find common denominators and reduce. 1)2) 3) 4)5)6)

Rational Exponents Property: Radicals (Roots) and Rational Exponent Form OR Example 1: Change Rational to Radical Form A]B]C] Example 2:Change Radical to Rational Form A]B]C]

# 1 – 4: Write in rational form #5 – 8: Write in radical form.

Determine if each pair are equivalent statements or not. 1. and 2. and 3. and 4. and and

Simplifying Rational Exponents Apply normal operations with exponents. Convert to radical form. Simplify the radical expression based on the index and radicand

Simplify the following expressions into simplest radical form

Change of Base (Index or Root) Write the radicand in prime factorization form REDUCE the fractions of Rational Exponents to rewrite radicals

Change of Base Practice Problems