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6.1 – Rational Exponents

6.1 – Rational Exponents. Radical Expressions. Finding a root of a number is the inverse operation of raising a number to a power. radical sign. index. radicand. This symbol is the radical or the radical sign. The expression under the radical sign is the radicand.

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6.1 – Rational Exponents

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  1. 6.1 – Rational Exponents Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. radical sign index radicand This symbol is the radical or the radical sign The expression under the radical sign is the radicand. The index defines the root to be taken.

  2. 6.1 – Rational Exponents Square Roots A square root of any positive number has two roots – one is positive and the other is negative. If a is a positive number, then is the positive square root of a and is the negative square root of a. Examples: non-real #

  3. 6.1 – Rational Exponents Cube Roots A cube root of any positive number is positive. A cube root of any negative number is negative. Examples:

  4. 6.1 – Rational Exponents nth Roots An nth root of any number a is a number whose nth power is a. Examples:

  5. 6.1 – Rational Exponents Examples:

  6. 6.1 – Rational Exponents The value of the numerator represents the power of the radicand. The value of the denominator represents the index or root of the expression. Examples: or

  7. 6.1 – Rational Exponents Examples: or

  8. 6.1 – Rational Exponents More Examples:

  9. 6.1 – Rational Exponents or or Examples: or

  10. 6.1 – Rational Exponents Use the properties of exponents to simplify each expression

  11. 6.1 – Rational Exponents Use the properties of exponents to simplify each expression

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