Exponential Function Operation Rule: Power of a Power

Formula: (a^m)^n = a^(m · n). Condition: a > 0, m, n are any real numbers. Explanation: To raise a power to a power, keep the base and multiply the exponents.

Syllabus path: Functions › Basic Elementary Functions › Exponential Functions

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CSCA Mathematics Formula Reference

Formula and explanation

Formula: (a^m)^n = a^(m · n). Condition: a > 0, m, n are any real numbers. Explanation: To raise a power to a power, keep the base and multiply the exponents.

Related tutorial and examples

Exponential Functions

Exponential Functions 1. Core Concepts Definition: A function y = a^x, where x is the variable, base a is a constant, a > 0, a eq 1. Why limit the base? If a < 0, values like a^(1/2) are undefined in real numbers. If a = 1, y = 1 is just a constant line. - - - 2. Graphs and Prope…

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