The quotient of powers is a mathematical operation used to divide one power of a base by another power of the same base. The quotient is obtained by subtracting the exponent of the divisor from the exponent of the dividend, and the base remains the same. For example, x^5 ÷ x^2 = x^(5-2) = x^3. This rule applies to both positive and negative exponents, allowing for the simplification and manipulation of complex algebraic expressions.
