Dividing Monomials: The Quotient Rule and Integer Exponents

[thepcnerd]

I am hoping for some help with the following two problems:

1) [ 32 x^(-3) x^2 ] / [ 24 x^2 x^5 ]

So far, I have gotten:

. . .[ 4x - 4] / [3 x 4]

2) [ s / (4 t^2) ]^3 [ (3 s^2) / (2 t^4) ]^(-4)

So far, I have gotten:

. . .[ 324 s^11 t^6 ] / 9

What am I doing wrong?

Thank you!
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Edited by stapel -- Reason for edit: attempting to fix multi-line formatting

 

[Denis]

Rules:

a^x * a^y = a^(x+y)

a^x / a^y = a^(x - y)

 

[thepcnerd]

??

 

[Denis]

You better have a talk with your teacher, pc.

 

[stapel]

What am I doing wrong?

Until we can see your steps, there is no way to know what you are doing, right or wrong.

Thank you.

Eliz.

 

[tkhunny]

Re: Dividing Monomials: The Quotient Rule and Integer Expone

1) [ 32 x^(-3) x^2 ] / [ 24 x^2 x^5 ]
[ 4x - 4] / [3 x 4]

In the first expression, you had only multiplication and division. How did you manage to get addition in your numerator?

You may wish to have the heart-to-heart with your teacher sooner than later.