Understanding Rational Exponents and Numbers (N-RN.A.1; A.2;B.3)

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What is a rational exponent?

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

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@@ oot{3}{y^2}@@.

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CCSS.HSN.RN.A.2

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3, because @@9^{rac{1}{2}} = oot{2}{9} = 3@@.

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CCSS.HSN.RN.A.2

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What does @@ oot{n}{a}@@ represent?

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It represents the nth root of a, which is a number that, when raised to the power of n, gives a.

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CCSS.HSN.RN.A.2

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@@ oot{2}{rac{1}{4}} = rac{1}{2}@@.

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CCSS.HSN.RN.A.2

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What is the relationship between rational exponents and radical expressions?

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Rational exponents can be converted to radical expressions, and vice versa. For example, @@a^{rac{1}{n}} = oot{n}{a}@@.

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

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What is the value of @@ oot{3}{27}@@?

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3, because 3 cubed equals 27.

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CCSS.8.EE.A.2

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