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Learning Goal
Part of: Extend the properties of exponents to rational exponents — 2 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.
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HSN.RN.A.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.
What you'll learn
- Convert a radical expression to exponential notation: ⁿ√(a^m) = a^(m/n)
- Convert a rational exponent expression to radical notation: a^(m/n) = ⁿ√(a^m) = (ⁿ√a)^m
- Simplify expressions involving rational exponents using the product rule, quotient rule, and power rule
- Choose between radical and exponential form based on which is more efficient for a given computation
- Simplify products and quotients of radical expressions by converting to exponential form and applying exponent rules
Prerequisites
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