Question

Which expression is equivalent to 55x^2y?
a. y
b. y^5
c. x^2y
d. x/y

Answer 1

None of the options provided (a, b, c, or d) are equivalent to the expression 55x^2y since they either exclude the constant 55 or alter the relationship and exponents of the variables x and y.

Step-by-step explanation:

The expression 55x^2y can be simplified by examining each of the options provided to find which one is equivalent. None of the constants or variables should be disregarded, and the variables must maintain their exponents for the expressions to be equivalent. Therefore:

• Option a (y) does not include the variable x or the constant 55, so it is not equivalent.
• Option b (y^5) alters the exponent of y and again does not include x or 55, so it's not equivalent.
• Option c (x^2y) includes the x and y variables with correct exponents but lacks the constant 55, so it's not equivalent.
• Option d (x/y) changes the relationship between x and y to a division, and also does not include the constant 55, making it not equivalent.

Therefore, none of the options provided (a, b, c, or d) are equivalent to the expression 55x^2y.