Here we have a product of expressions with exponents, and we can see that Cody's mistake is that he did not realize that the expressions have different bases, so he can't apply any property for the product.
For the product of expressions with exponents, we have the general rule:
[tex]a^n \cdot a^m = a^{n + m}[/tex]
Notice that it only works if we have the same base (in the above case the base is a)
While if we see Cody's expression, we have two different bases:
[tex]2^9 \cdot 3^4[/tex]
The bases are 2 and 3, so we can't use the above property (that, as you can see, Cody used)
So there is Cody's mistake.
If you want to learn more, you can read:
https://brainly.com/question/219134
