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November 21st, 2013, 08:00 PM   #1
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Simplifying Algebraic Expressions using Exponent Rules

Hey, this is my first post - seems like a great site to visit to get help and to help others. I'm currently enrolled in the grade 11 University course named "Functions". I have a tutor, yet I still encounter some occasional speed bumps.

Right now I'm connecting the exponent rules to simplify algebraic expressions. The power rules are simple enough, it's the co-efficients that stump me. So without further adieu, I'll provide the expression below, and I'd appreciate if somebody could show me the steps of completely simplifying it:



(-2x^2)^3 (6x)^2
------------------------- That dotted line is the division line.
2 (-3x^-1)^3


The answers in the back of the book got the answer as
16
----
3x


Please illustrate how they reached this.
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November 21st, 2013, 08:06 PM   #2
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Re: Simplifying Algebraic Expressions using Exponent Rules

WAIT I MADE AN ERROR and I don't know how to edit.

The actual expression that needs to be solved is:

(-2x^-2)^3 (6x)^2
-----------------------
2(-3x^-1)^3


Sorry! I hope nobody attempted the previous expresion!
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November 22nd, 2013, 06:18 AM   #3
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Re: Simplifying Algebraic Expressions using Exponent Rules

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