Algebra2D

Exponents and Radicals - Theory & Concepts - Exponent Rules

Detailed guide on the laws of exponents, simplifying radicals, rationalizing denominators, and solving radical equations.

Select Exponent Law

a^m \cdot a^n = a^{m+n}

Base (a)2

Exponent (m)2

Exponent (n)3

Active Proof Expansion

a^m \cdot a^n = a^{m+n}

2^2 \cdot 2^3 = 2^{2+3} = 32

Visualizing multiplication (matching bases)

a^m (2^2)

(2 · 2)

a^n (2^3)

(2 · 2 · 2)

⬇

Merged Exponents

(a^{m+n})

2 · 2 · 2 · 2 · 2

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