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Operations with Rational (Fraction) Exponents. 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).
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Operations with Rational (Fraction) Exponents • 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)
Example 1: ChangeRational to Radical Form A] B] C] Radicals (Roots) and Rational Exponent Form Rational Exponents Property: OR OR Example 2: ChangeRadical to Rational Form A] B] C]
Radicals Classwork # 1 – 4: Write in rational form. 1. 2. 3. 4. #5 – 8: Write in radical form. 5. 6. 7. 8.
Determine if each expression is equivalent or not. Hint: Change Expressions all to rational exponents 1. and 2. and 3. 4. and and 6. 5. and and
Simplifying Rational Exponents • Apply normal operations with exponents. • Convert to radical form. • Simplify the radical expression based on the index and radicand. 1. 2. 3. 4. 5. 6. 7. 8.
PRACTICE: Simplify each expression into simplest radical form 2. 1. 3. 4. 5. 6.
Change of Base (Index or Root) • Write the radicand in prime factorization form • REDUCE the Rational Exponents to rewrite radicals. 1. 2. 3. 3. 3. 4.
Practice: Change of Base Problems 3. 1. 2. 4. 5. 6.
