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A product is a binary operation: you need 2 (or more) numbers in order for there to be a product.
No. Fractions don't need the same denominator in order to multiply them. The numerator of their product is simply the product of their numerators, and the denominator of their product is just the product of their denominators.
Product (or multiplication) is a binary operator which means that you cannot have a product for only one number; you need two.
No. SSA is ambiguous. Unless A = 90 degrees, there are two possible configurations for the triangle. So they need not be congruent.
"Product" is a binary operation. That means you need two numbers before you can have a product. So 34 does not have a product and so there is no way to find it!