To express 10 raised to the power of 2, you would write it as 102. This notation means that you multiply 10 by itself:
- 10 x 10
The calculation is straightforward:
- 10 x 10 = 100
Thus, 102 = 100. This concept is part of exponentiation, where a number (the base) is raised to the power of an exponent, which indicates how many times to use the base in a multiplication. In this case, the base is 10 and the exponent is 2. Exponentiation is a fundamental concept in mathematics and has various applications in fields like finance, physics, and computer science.
Understanding how to express powers is essential not only for academic purposes but also for practical applications, such as calculating areas (for squares, where you might raise the length of a side to the power of 2) or compounding interest in finance. Therefore, grasping this notation and its meaning is a valuable skill!