Final answer:
When searching for a three-digit number starting with "75", you would use the wildcard character '75*'. This allows for any digits to follow "75", analogous to how an exponent signifies repeated multiplication in mathematics.
Step-by-step explanation:
To search for a three-digit number that starts with "75", you would enter 75*. This is a common wildcard character used in various search patterns to represent any characters that could appear after the specified "75". So, if we refer to the context of integer powers and exponential notation provided, which shows us how to handle numbers raised to powers and expanded forms of calculations, we can infer that the "*" acts as a wildcard that could stand in for any number of additional digits at the end of the "75", much like how a power can represent repeated multiplication of a number.
For example, when we calculate (74)³, we are effectively multiplying 74 by itself three times: 74 * 74 * 74. Similarly, when you want a search pattern that encompasses all numbers starting with "75", using the star wildcard "*" after "75" implies that any sequence of digits could follow.
Understanding wildcards is like understanding the cubing of exponentials, where you perform operations according to certain rules—like cubing the digit term normally and multiplying the exponent by three, as mentioned in the context.