Final answer:
The expression where exponents should be multiplied (or more accurately, added) is 4⁵ · 4², which follows the mathematical rule of adding exponents when multiplying two powers with the same base.
Step-by-step explanation:
The student's question involves understanding when exponents should be multiplied in mathematical expressions. When two powers of the same base are multiplied together, the exponents are added together, as shown in the rule (A.8). Specifically, this happens when you are multiplying scientific notations or numbers in exponential form with the same base. For example, 10² × 10³ = 10²+3 = 10µ. Using this rule, let's consider the provided expressions:
- Option A: 5³-⁴ does not involve multiplication of exponents.
- Option B: 3· is not an exponential expression.
- Option C: 3¹⁵ is also not an example of multiplying exponents.
- Option D: 4µ • 4² is indeed an expression where exponents should be multiplied (more precisely, added), according to the rule (A.8).
The correct expression is 4⁵ · 4², as it involves adding the exponents when two powers with the same base are multiplied together.