Question

Can you please show me how you got the answer (50 points)

Answer 1

`4x^(6)2y^(-2)`

Explanation:

We can use a property I like to call SEi-F. (Subtract Exponents in a Fraction)

But first, there is an exponent outside of the parentheses in both places. We can use the Power of Parentheses to simplify and then use the SEi-F.

We will start with the x in the numerator.

3*4 = 12

Now for the y in the numerator.

4*4 = 16

Our new numerator is
`4(2x^(12)y^(16))`

We do need to simplify the numerator one more time to get rid of the 4 outside the parentheses.

We will start with x's coefficient.

2*4 = 8

Now for y's coefficient.

1**4 = 4

*y seems to have no coefficient, but if so, it has a coefficient of 1. This applies to other variables.

Our final simplified numerator is
`8x^(12)4y^(16)`.

Repeat with the denominator.

Try it yourself!

Make sure that when you finish, you finish the fraction.

After completing the denominator, your completed fraction should be:

`(8x^(12)4y^(16))/(4x^(6)2y^(18))`

Now we can use the SEi-F to complete the problem.

Start with x.

8x - 4x = 4x

12 - 6 = 6

The first term is
`4x^(6)`.

Now for y.

4y - 2y = 2y

16 - 18 = -2

The second term is
`2y^(-2)`

The complete, simplified equation is
`4x^(6)2y^(-2)`.

I could be wrong on the answer, but the work should be correct.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?