Simplify with fractional exponents and negative exponents I am trying to simplify (\frac

Essence Byrd

Essence Byrd

Answered question

2022-04-28

Simplify with fractional exponents and negative exponents
I am trying to simplify
(3x32y3x2y12)2
It seems pretty simple at first. I know that a negative exponent means you flip a fraction. So I flip it.
(x2y123x32y3)2
Now I need to square it, which is tricky because there are a lot of weird rules with squaring. This is probably where I went wrong.
(x2y129x32y3)
Now I need to try and simplify things. I know that I can get rid of the x on top since there is a larger one on the bottom.
4232=12
(x12y129y3)
Now I need to get rid of the y exponent.
I am not sure how that is possible.

Answer & Explanation

4dorts3x

4dorts3x

Beginner2022-04-29Added 9 answers

So we have
(3x32y3x2y12)2
Yes you are right you can "flip" the fraction to remove the negative exponent.
(x2y123x32y3)2
Here you multiply every exponent by 2 to square the expression inside the brackets. This is where you went wrong here.
(x4y19x3y6)
But y1=1y
so the above is equal to
(x49x3y7)
Now cancel the x3
(x9y7)
And we're done.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?