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DF001
 one year ago
help with 7x^3y(3x^1y^5/9x^3y^2)^3
DF001
 one year ago
help with 7x^3y(3x^1y^5/9x^3y^2)^3

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DF001
 one year ago
Best ResponseYou've already chosen the best response.1\[7x ^{3}y(\frac{ 3x ^{1} y^5 }{ 9x ^{3}y ^{2} })^{3}\]

DF001
 one year ago
Best ResponseYou've already chosen the best response.1I am stuck on this question and I need help before an hour for class

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Is this the problem? \(\large 7x^3y \left( \dfrac{3x^{1}y^5}{9x^3y^2} \right) ^{3}\)

DF001
 one year ago
Best ResponseYou've already chosen the best response.1yes and i am stuck on this process

DF001
 one year ago
Best ResponseYou've already chosen the best response.1The answer is 189x^9/y^20 but, i want to know how it is done

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We can start by simplifying the fraction inside the parentheses. Keep the exponent 3 as it is. We are first just working inside the parentheses.

DF001
 one year ago
Best ResponseYou've already chosen the best response.1How can I simplify the inside

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large 7x^3y \left( \dfrac{3x^{1}y^5}{9x^3y^2} \right) ^{3}\) \(\large =7x^3y \left( \dfrac{y^7}{3x^4} \right) ^{3}\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1A negative exponent in the denominator is a positive exponent in the numerator. A negative exponent in the numerator is a positive exponent in the denominator.

DF001
 one year ago
Best ResponseYou've already chosen the best response.1wait, where did the 9 go

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The 3 and the nine get reduced to 1/3. Now we deal with the negative exponent, 3. We make the exponent positive by flipping the fraction.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large = 7x^3y \left( \dfrac{3x^4}{y^7} \right) ^{3}\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441208660696:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441208697400:dw

DF001
 one year ago
Best ResponseYou've already chosen the best response.1oh you only flip the numbers in front?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1When you flipped the fraction, you forgot to flip the 9 and the 3. Yes, you do flip the numbers because the numbers are also part of the numerator and denominator.

DF001
 one year ago
Best ResponseYou've already chosen the best response.1do I leave the variables alone

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1After flipping, you can reduce the 9 and the 3 to 3 and 1, or just 3 in the numerator.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Notice that your corrected figure (with the 3 and 1) are exactly what I am up to in Latex above.

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

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large = 7x^3y \cdot \dfrac{(3x^4)^3}{(y^7)^3} \) Ok?

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0and he should find it 189 *(x^15/y^20) @mathstudent55

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we raise the numerator and denominator to the 3rd power by raising every factor. \(\large = 7x^3y\cdot \dfrac{3^3(x^4)^3}{y^{21}} \) \(\large = 7x^3y\cdot \dfrac{27x^{12}}{y^{21}} \) \(\large = \dfrac{7x^3y\cdot 27x^{12}}{y^{21}} \) \(\large = \dfrac{189x^{15}}{y^{20}} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441209750213:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441209770713:dw
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