SOLUTION: Can you please tell me how to solve putting this quotient in standard form? ( 6a^3b )^4 OVER 3ab^2

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Question 461442: Can you please tell me how to solve putting this quotient in standard form?

( 6a^3b )^4 OVER 3ab^2
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify. Put this quotient in standard form.
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%286a%5E3b%29%5E4%2F%283ab%5E2%29
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Remember we can only combine like terms (e.g. numbers with numbers, the variable a with another a, and the variable b with another b.
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First, we need to take care of the exponent. We use the Power Property for Exponents (when raising an exponential expression to a power, MULTIPLY the exponents. Raise each term in inside the parentheses to the 4th power. We get,
%281296a%5E12b%5E4%29%2F%283ab%5E2%29
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Now, we can divide each term in the numerator by the like term in the denominator. We use the Quotient Property for Exponents (when we divide exponential expressions, we SUBTRACT the exponents.)
%28432a%5E11b2%29
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If you have questions about the exponent properties, here's a link to a good video:
http://www.khanacademy.org/video/exponent-rules-part-1?playlist=Pre-algebra
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Hope this helps!
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Ms. Figgy
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