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anonymous
 one year ago
(8xy^2/12x^3y)^3.
anonymous
 one year ago
(8xy^2/12x^3y)^3.

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Is this the problem? dw:1440992849116:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1First, let's simplify the fraction inside the parentheses.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440993107283:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you understand that step?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1A positive numerator divided by a negative denominator gives a negative result. That means the fraction is negative. 8 and 12 are both divisible by 4. 8/4 = 2, and 12/4 = 3. Then x/x^3 = 1/x^2 and y^2 /y = y. That simplified the fraction inside the parentheses.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we get rid of the negative exponent. A negative exponent means flip the fraction. dw:1440993362374:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The exponent went from 3 to 3 by flipping the fraction.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we need to raise the fraction to the 3rd power. To raise a fraction to a power, raise the numerator and the denominator to that power.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440993459272:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i got 27x^6/8y^3

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we have a product in the numerator and a product in the denominator. Each needs to be raised to the 3rd power. To raise a product to a power, raise each factor to the power. The negative sign is the same as a factor of 1.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Or just consider 3 to be a number and raise it to the 3rd power.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440993606186:dw
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