🎯

Learning Goal

Part of: Extend the properties of exponents to rational exponents2 of 2 cluster items

Rewrite expressions with rational exponents

HSN.RN.A.2

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

Show more

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

Interactive presentations perfect for visual learners • 2 slide decks

Slide Video

Watch narrated slides play like a video lesson • Narrated slide playback

Task-sets

Learning resource • 1 task-sets