Powers Explorer

An exponentiation (or power) is a mathematical operation, written as aⁿ, involving two numbers: the base a and the exponent n. It represents repeated multiplication of the base; for example, 3⁴ = 3 × 3 × 3 × 3 = 81.

Key Exponent Laws:

• Product Rule: a^m × aⁿ = a^m+n
• Quotient Rule: a^m ÷ aⁿ = a^m−n (a ≠ 0)
• Power Rule: (a^m)ⁿ = a^m×n
• Zero Exponent: a⁰ = 1 (a ≠ 0)
• Negative Exponent: a⁻ⁿ = 1 / aⁿ
• Fractional Exponent: a^1/n = n-th root of a

This app will help you understand and work with powers through interactive tools.