Exponents & Roots
Exponents encode repeated multiplicative structure, and roots reverse powers.
What you'll learn
- Interpret a^n as n factors of base a rather than a multiplied by n.
- Keep the roles of base and exponent distinct.
- Derive the same-base product rule by counting repeated factors.
- Explain why exponents do not distribute over addition.
- Interpret a square root as the nonnegative side length whose square gives an area.
- Use zero exponents and structural comparison in a constrained exponent expression.
Before you start
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