What is the value of 10^(-3)?

The value of \(10^{-3}\) is 0.001.

When you see a negative exponent, it means you are dealing with a reciprocal. In this case, \(10^{-3}\) is the same as \( \frac{1}{10^3} \). To understand this better, let's break it down. The exponent -3 tells us to take the reciprocal of \(10^3\).

Now, \(10^3\) means 10 multiplied by itself three times, which is \(10 \times 10 \times 10 = 1000\). So, \( \frac{1}{10^3} \) becomes \( \frac{1}{1000} \). When you divide 1 by 1000, you get 0.001.

This concept is useful in many areas of maths and science, especially when dealing with very large or very small numbers. For example, in scientific notation, negative exponents are often used to represent very small quantities. Understanding how to work with negative exponents can make these calculations much easier.