What is the result of exponentiating a power?

Exponentiating a power involves raising a power to another power. This operation follows the mathematical rule where you multiply the exponents. For instance, if you have ( (a^m)^n ), it simplifies to ( a^{m \cdot n} ). This rule stems from the definition of exponentiation itself. When you multiply powers with the same base, you add the exponents. Therefore, the logical extension when raising a power to another power is to multiply the existing exponent by the new exponent, leading to the correct understanding and application of the rules of exponents.

This concept is fundamental in algebra, particularly when working with exponents in expressions and equations, allowing for simplification and manipulation of powers in a systematic manner.