How do you multiply like bases with exponents?

When multiplying like bases that have exponents, the correct process involves adding the exponents. This is based on the property of exponents which states that when you multiply two exponential expressions with the same base, you combine the powers by adding their exponents. For example, if you have a^m * a^n, this simplifies to a^(m+n). This property helps in simplifying expressions and performing calculations efficiently. It is foundational knowledge in working with exponent rules, particularly important in algebra and higher-level mathematics.