Question

Can someone help me with this one?

Answer 1

Answer and Explanation:

First, multiply the constants in each term:

3 · 4 = 12

So, 12 will be the constant factor of the terms' product.

Then, multiply the x's using the exponent rule:
`x^a \cdot x^b = x^((a\, +\, b))`

`x^2 \cdot x^3 = x^((2\,+\,3)) = x^5`

So, x⁵ will be the x factor in the product.

Next, multiply the y's using the same exponent rule.

`y^5 \cdot y^7 = y^((5\,+\,7)) = y^(12)`

So, y¹² will be the y factor in the product.

Finally, multiply the factors of the product together to get the product.

12x⁵y¹²