anonymous
  • anonymous
(8xy^2/-12x^3y)^-3.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathstudent55
  • mathstudent55
Is this the problem? |dw:1440992849116:dw|
anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
First, let's simplify the fraction inside the parentheses.

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mathstudent55
  • mathstudent55
|dw:1440993107283:dw|
mathstudent55
  • mathstudent55
Do you understand that step?
anonymous
  • anonymous
yes i do
mathstudent55
  • mathstudent55
A 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
  • mathstudent55
Now we get rid of the negative exponent. A negative exponent means flip the fraction. |dw:1440993362374:dw|
anonymous
  • anonymous
yup got that
mathstudent55
  • mathstudent55
The exponent went from -3 to 3 by flipping the fraction.
mathstudent55
  • mathstudent55
Now 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
  • mathstudent55
|dw:1440993459272:dw|
anonymous
  • anonymous
so i got -27x^6/8y^3
mathstudent55
  • mathstudent55
Now 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
  • mathstudent55
Or just consider -3 to be a number and raise it to the 3rd power.
mathstudent55
  • mathstudent55
|dw:1440993606186:dw|
mathstudent55
  • mathstudent55
Correct.
anonymous
  • anonymous
thank you

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