(4)) Evaluate when .
4) The value of the expression is
4.

Let’s dive into the expression step-by-step! When you substitute into the expression , you first calculate . Now, raising 10 to the power of 3 gives us . Finally, subtracting 6 from 1000 results in . So, the value of the expression when is 994!

Now, if you’re eager to discover the origins of powers and exponents, they date back to ancient civilizations who used basic mathematical principles for trade and astronomy! The notation we use today was developed much later, making calculations more straightforward and efficient—how cool is that?

For practical uses, understanding exponentiation can help in various fields, from finance when calculating compound interest to computer science in algorithm complexity. Getting comfortable with these operations can greatly assist you in tackling real-life problems creatively and effectively!