Final answer:
To expand the expression (4xy-2)(5y), it is necessary to apply exponents correctly, but the provided options do not match the expansion if -2 is the exponent. The rules of exponents dictate that each term within the parentheses is affected by it when squared.
Step-by-step explanation:
The question involves expanding an algebraic expression with an exponent. To correctly expand the expression (4xy-2)(5y), you must apply the distributive property and multiplication of exponents correctly.
As per the rules for dealing with exponents, when a term with an exponent is multiplied by another term without one, the exponent only affects the term it is applied to. In this case, we have to square the term 4xy and multiply it by 5y keeping in mind that squaring the term means multiplying the term by itself. Then, we apply the exponent of -2 to (4xy), which becomes (4xy)-2, not to be confused with multiplicative inverse which is denoted without an exponent.
Note: There seems to be a potential misunderstanding in the way the expression is presented. If the '-2' is indeed an exponent (as in (4xy)-2), then this would change the nature of the expansion significantly and it would not yield any of the answer choices a) through d). With more clarification, a specific answer could be provided.