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Learning Goal

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Rewrite expressions with rational exponents

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HSN.RN.A.2

**HSN.RN.A.2**: Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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HSN.RN.A.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.

What you'll learn

  1. Convert a radical expression to exponential notation: ⁿ√(a^m) = a^(m/n)
  2. Convert a rational exponent expression to radical notation: a^(m/n) = ⁿ√(a^m) = (ⁿ√a)^m
  3. Simplify expressions involving rational exponents using the product rule, quotient rule, and power rule
  4. Choose between radical and exponential form based on which is more efficient for a given computation
  5. Simplify products and quotients of radical expressions by converting to exponential form and applying exponent rules

Slides

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1

Rewrite expressions radical to exponential

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2

Simplifying with rational exponents

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Practice

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