Final answer:
The question deals with place value and scientific notation, focusing on the value of the digit '3' in different positions and the cubing of exponentials, which involves cubing the digit and multiplying the exponent by three.
Step-by-step explanation:
The question suggests an interest in understanding place value and scientific notation, specifically relating to the digit '3' and its value in different positions within a number.
When a digit's place value is ten times that of the same digit elsewhere in a number, this indicates a move of one decimal place or a change in the power of 10 in scientific notation.
For example, the number 83,679 has a '3' in the thousands place, which is ten times the value of a '3' in the hundreds place.
If we were to look at cubing of exponentials, we would cube the digit term in the usual way and then multiply the exponent of the exponential term by three.
This applies to scientific notation where, for example, 10³ would be cubed to become 10^9.