Final answer:
The expression equivalent to the product of a (greater than zero) times a is a squared (a²), since multiplying a number by itself is essentially squaring that number.
Step-by-step explanation:
The expression equivalent to the product for all a>0 multiplied by a (considering the typo and assuming it means a times a) is b) a². This is because when you multiply a number by itself, you are squaring it, which is an application of the exponentiation rule that states 'to multiply two exponents with the same base, you add the exponents'.
In this case, since a has an implicit exponent of 1 (as all numbers do when the exponent is not shown), we follow the rule that a¹ × a¹ = a². Therefore, the correct answer is a squared.
The expression a>0×a is asking for the product of a and 'a>0'. To simplify this expression, we first observe that 'a>0' is a condition, not a number. So, multiplying it with 'a' doesn't make sense. We can remove 'a>0' from the expression since it doesn't affect the multiplication. Therefore, the correct equivalent expression is a.