4 to the 3rd power is a mathematical expression that simply means multiplying 4 by itself three times. In other words, it is the same as saying 4 x 4 x 4, which equals 64.

This concept of raising a number to a power may seem daunting at first, but it is a fundamental concept in mathematics and has countless applications in various fields such as physics, engineering, and finance.

One common application of exponents like 4 to the 3rd power is in scientific notation. Scientific notation is a way to express very large or very small numbers in a more concise and readable format. For example, the speed of light in a vacuum is approximately 299,792,458 meters per second. In scientific notation, this can be expressed as 2.99792458 x 10^8 meters per second. Here, 10^8 represents “10 raised to the power of 8,” or multiplying 10 by itself eight times.

Exponents are also used in algebra to simplify complex expressions. For example, consider the expression 5 to the 4th power times 5 to the 2nd power. Instead of multiplying each factor individually, we can use the rule that when two powers have the same base, we can add their exponents. Therefore, 5 to the 4th power times 5 to the 2nd power simplifies to 5 to the 6th power, or 15625.

In conclusion, 4 to the 3rd power represents the product of multiplying 4 by itself three times, resulting in the value of 64. This concept of raising a number to a power has numerous applications in mathematics, science, and engineering, making it an essential concept to understand for anyone interested in these fields.