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Apply Properties of Rational Exponents

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Presentation on theme: "Apply Properties of Rational Exponents"— Presentation transcript:

1 Apply Properties of Rational Exponents
6.2 Apply Properties of Rational Exponents

2 Properties of Exponents These Properties can also be applied to rational exponents.
Product of Powers Power of Power Power of a Product Negative Exponents Zero Exponent Quotient of Powers Power of a Quotient

3 And this one could be written:
Properties of Exponents These Properties can also be applied to rational exponents. Product of Powers Power of Power Power of a Product Negative Exponents Zero Exponent Quotient of Powers Power of a Quotient If m = 1/n , then in radical notation this could be written: And this one could be written:

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10 For a radical to be in simplest form, you must not only apply the properties of radicals, but also remove any perfect nth powers (other than 1) and rationalize any denominators.

11 For a radical to be in simplest form, you must not only apply the properties of radicals, but also remove any perfect nth powers (other than 1) and rationalize any denominators.

12 For a radical to be in simplest form, you must not only apply the properties of radicals, but also remove any perfect nth powers (other than 1) and rationalize any denominators.

13 For a radical to be in simplest form, you must not only apply the properties of radicals, but also remove any perfect nth powers (other than 1) and rationalize any denominators.

14 Two radical expressions are like radicals if they have the same index and the same radicand.
For instance, these are like radicals:

15 Two radical expressions are like radicals if they have the same index and the same radicand.
For instance, these are like radicals:

16 Two radical expressions are like radicals if they have the same index and the same radicand.
For instance, these are like radicals:

17 Two radical expressions are like radicals if they have the same index and the same radicand.
For instance, these are like radicals:

18 Two radical expressions are like radicals if they have the same index and the same radicand.
For instance, these are like radicals:

19 Two radical expressions are like radicals if they have the same index and the same radicand.
For instance, these are like radicals:

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