Question

Find the missing factor

Answer 1

`(x^4y^5)(x^2y^4)`

Explanation:

Keep these things in mind:

`x^3* x^3=x^(3+3)=x^6\\\\(x^3)^3=x^(3*3)=x^9`

Using those, simplify the left side of this equation:

`(x^2y^3)^3\\x^6y^9`

Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:

`6-4=2\\9-5=4`

We need to add a 2 to the x, and add a 4 to the y.

`(x^4y^5)(x^2y^4)`