Final answer:
None of the provided options accurately represent the product of two positive numbers, 4 and 3. The correct expression to calculate the product of 4 and 3 should be simply written as (4)(3) or 4 × 3, which results in 12, since both numbers are positive.
Step-by-step explanation:
The expression that could be used to determine the product of 4 and 3 is actually quite simple, as we are looking for a positive result, due to both numbers being positive. According to the standard rules of multiplication, the product of two positive numbers yields a positive result. So, considering the options provided, we can immediately discern that any expression with a negative outcome (which results from multiplying numbers with opposite signs) is incorrect. Let's analyze the given options:
- Option A: (-4)(3)×(-4) involves two negative numbers and one positive, thus this will not give us the simple product of 4 and 3.
- Option B: (-4)(3) +(-4) is a mix of multiplication and addition involving negative numbers, which is also not adequate for our simple product.
- Option C: (3)(-4)×(3^4) includes a negative number and an exponentiation, making it far more complex than necessary for our product.
- Option D: (3) (-4)+(3) though it starts with a multiplication of numbers with opposite signs, is followed by an addition which does not affect the first multiplication operation. Nevertheless, because our numbers are both positive, this expression is not accurate.
The correct expression to determine the product of 4 and 3, which should be a positive number, is not explicitly listed in the provided options. Thus, the correct expression, based on our understanding of multiplication rules, should be (4)(3) or simply 4 × 3, which would yield the product of 12, as both numbers are positive.