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Mathematics 11 Online
OpenStudy (anonymous):

I bet no one can solve this equation.

OpenStudy (anonymous):

5x^-2y^10 over 2x^-1(-3x^-3y^-1)^-2

myininaya (myininaya):

Because there is no equation to solve. :p

myininaya (myininaya):

Do you mean to simplify the expression.

OpenStudy (anonymous):

Yes, straight from an SAT study book

OpenStudy (dawnr):

this is http://media.tumblr.com/tumblr_memy8mw86I1qc9tqw.gif

myininaya (myininaya):

I'm going to phrase this using latex just to make sure I understand what you have written: \[\frac{5x^{-2}y^{10}}{2x^{-1}(-3x^{-3}y^{-1})^{-2}}\]

OpenStudy (anonymous):

@DawnR XD hahaha

myininaya (myininaya):

It is very important to recall the law of exponents here. I will write some useful ones here regarding this problem: \[x^{-n}=\frac{1}{x^n}\] \[\frac{1}{x^{-n}}=x^{n}\] \[x^{1}=x\] \[x^0=1 \text{ note: } x \neq 0\] \[(a^rb^tc^s)n=a^{rn}b^{tn}c^{sn}\]

myininaya (myininaya):

also \[x^nx^m=x^{m+n} \text{ and } \frac{x^n}{x^m}=x^{n-m}\]

myininaya (myininaya):

These are good lows to recall for this problem.

myininaya (myininaya):

also that one law is a little broken let me rewrite it

myininaya (myininaya):

\[(a^rb^tc^s)^n=a^{rn}b^{tn}c^{sn}\]

myininaya (myininaya):

can you use this last law here on the problem anywhere that you can see?

OpenStudy (anonymous):

I'm not asking this question because I need help, I am asking to see if someone for actually get it

OpenStudy (anonymous):

Can*

myininaya (myininaya):

|dw:1403479310371:dw| I will give you a hint: look in the circle below:

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