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Standards/Math/Mississippi/N-RN

N-RN

Mississippi
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N-RN

N-RN.1Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^(1/3)3 to hold, so [5^(1/3)]^3 must equal 5.N-RN.2Rewrite expressions involving radicals and rational exponents using the properties of exponents.N-RN.3Explain why: the sum or product of two rational numbers is rational; the sum of a rational number and an irrational number is irrational; and the product of a nonzero rational number and an irrational number is irrational.
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