Question

What is the verbal expression for the mathematical term x³ ⋅ y⁴?

A) The product of x raised to the power of 3 and y raised to the power of 4.
B) The sum of x to the third power and y to the fourth power.
C) The quotient of x cubed and y to the fourth power.
D) The difference of x and y raised to the fourth power.

Answer 1

The verbal expression for x³ ⋅ y⁴ is 'The product of x raised to the power of 3 and y raised to the power of 4', since it involves multiplying x cubed and y to the fourth power.

Step-by-step explanation:

The verbal expression for the mathematical term x³ ⋅ y⁴ is The product of x raised to the power of 3 and y raised to the power of 4. This expression indicates that you multiply x by itself three times (x multiplied by x multiplied by x) and multiply y by itself four times (y multiplied by y multiplied by y multiplied by y), and then multiply these two results together. It is imperative to understand that the term 'product' signifies multiplication, so option A correctly explains the expression.

In contrast, the other options are incorrect because they suggest addition (sum), division (quotient), and subtraction (difference), which are not relevant to the expression x³ ⋅ y⁴. Additionally, it is worth noting that raising a number to a power serves as a shorthand for multiplying the number by itself repeatedly, as mentioned in our provided references.