Number and Quantity

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Explain how expressions with rational exponents can be rewritten as radical expressions.
Rewrite expressions with radicals and rational exponents into equivalent expressions using the properties of exponents.
Use the properties of rational and irrational numbers to explain why: • the sum or product of two rational numbers is rational; • the sum of a rational number and an irrational number is irrational; • the product of a nonzero rational number and an irrational number is irrational.
Know there is a complex number i such that 𝑖 2 = – 1, and every complex number has the form 𝑎 + 𝑏𝑖 where 𝑎 and 𝑏 are real numbers.

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