Question

Problems 1–2 involve crayon production. 1. according to one crayon manufacturer, the average number of crayons produced in their factories each day is greater than 104 · 106 103 . write the number of crayons as a single power of 10. which property or properties of exponents did you use?

Answer 1

The number greater than 104 · 106 · 103 can be written as 10104, using the property where you add the exponents when powers of the same base are multiplied together.

Step-by-step explanation:

The number of crayons produced each day by one crayon manufacturer is given as greater than 104 · 106 · 103. To express this number as a single power of 10, we need to use the properties of exponents which allow us to add the exponents when we multiply powers with the same base. In this case, our base is 10.

Therefore, the number can be written as 10104 (since 6 + 3 = 9). In this process, we applied the Power of a Product property which states that when multiplying like bases, you add the exponents.