Final answer:
The 'base' in a mathematical expression is the number that is raised to a power, and the 'exponent' is the power to which the base is raised. The fraction '9 over 7' does not signify an exponential expression and thus doesn't have an exponent or base in the context commonly meant. When working with exponents, we use specific rules for multiplication, such as adding exponents when multiplying with the same base, and subtraction when dividing with the same base.
Step-by-step explanation:
The question "What is the base and exponent of 9 over 7" seems to be asking for an explanation of base and exponent in the context of the expression '9 over 7', which could be interpreted as ⅔ or as a fraction. In normal mathematical notation, the base is the number that is being raised to a power and the exponent tells you how many times you are multiplying the base by itself. However, in the fraction '9 over 7' there is no exponent; it's just a simple division of two numbers, 9 divided by 7, which equals approximately 1.2857. When we talk about exponents, we're dealing with powers of a number, such as in 5² = 5 x 5 = 25, where the base is '5' and the exponent is '2'.
For instance, the base and exponent in the expression 31.7 (which can also be represented as 31.7) are '3' as the base and '1.7' as the exponent. This exponent is part of a general pattern where you can convert a decimal exponent into a radical expression; here, 31.7 means the same as the 10th root of 3 raised to the 17th power.
To make division of exponentials easier, such as with 2.4 x 1013 divided by 8 x 107, you would subtract the exponent in the denominator from the exponent in the numerator to get the result of 24 x 106, adjusting the digit term as necessary to maintain proper scientific notation.