7 1 roots and rational exponents
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7.1 Roots and Rational Exponents PowerPoint PPT Presentation


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7.1 Roots and Rational Exponents. Objective: to rewrite radicals in rational exponent notation and evaluate radicals. n th root is defined as n is called the index of the radical. Vocabulary. Real n th roots. Find the indicated real nth root(s) of a. Examples.

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7.1 Roots and Rational Exponents

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7 1 roots and rational exponents

7.1 Roots and Rational Exponents

Objective: to rewrite radicals in rational exponent notation and evaluate radicals


Vocabulary

  • nth root is defined as

  • n is called the index of the radical

Vocabulary


Real n th roots

Real nth roots


Examples

Find the indicated real nth root(s) of a

Examples


7 1 roots and rational exponents

  • If is an nth root of a and m is some positive integer:


Examples change from exponent form to radical form

Examples: Change from exponent form to radical form


Examples change from radical form to exponent form

Examples: Change from radical form to exponent form.


Examples evaluating expressions with rational exponents

Examples: Evaluating Expressions with Rational Exponents


You try

You Try!


Approximating root with a calculator

Approximating Root with a calculator


Examples solving equations using nth roots

Examples: Solving Equations Using nth roots


Assignment

Read Section 7.1

Pgs. 404-406: 13-22 all, 29, 30, 32, 34, 35, 37, 38, 40, 53, 55, 56, 59, 60, 78-84 even

Assignment


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