How is exponentiation defined?

Exponentiation is defined as repeated multiplication. This means that when a number is raised to a power, it is multiplied by itself a certain number of times, based on the exponent. For example, if you take the number 2 and raise it to the 3rd power (2^3), it means 2 is multiplied by itself three times: 2 × 2 × 2, which equals 8. This fundamental concept lays the groundwork for more complex mathematical operations and applications, making it vital for students to grasp the meaning and implications of exponentiation in various contexts, especially in algebra and beyond. Understanding this allows students to handle exponential growth situations, scientific notations, and even logarithmic equations effectively.