What is the product of (3y^-4) (2y^-4) A. 6/y^8 B. 1/6y^8 C. 6/y^16 D. 1/6y^16

A

Step-by-step explanation:

We want to simplify the product .

First, notice that both terms have a power with base y, so by the properties of exponents, we can combine the two into one by adding their exponents:

Now, let's multiply the 3 and 2:

3 * 2 = 6

So far, we have . However, we have a negative exponent that we want to make positive. Remember another property of exponents that when we have a negative exponent, we can make it positive by taking the reciprocal of it. Thus, becomes .

Hence, our answer is , or A.

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