The formula to calculate the result (R) of raising a base (B) to a power (E) is:
\[ R = B^E \]
Where:
Raising a base to a power, also known as exponentiation, is a mathematical operation that involves multiplying a number (the base) by itself a certain number of times (the exponent). For example, raising 2 to the power of 3 (written as \(2^3\)) means multiplying 2 by itself three times: \(2 \times 2 \times 2 = 8\). This operation is fundamental in various fields of mathematics and science, including algebra, calculus, and physics. Exponentiation is used to describe exponential growth, compound interest, and many other phenomena.
Example 1:
Using the formula:
\[ R = 2^3 = 2 \times 2 \times 2 = 8 \]
Example 2:
Using the formula:
\[ R = 5^4 = 5 \times 5 \times 5 \times 5 = 625 \]