## EXOEXOEXO one year ago simplify (x^3y^4/xy^5)^3

1. anonymous

Have you attempted the problem yet?

2. EXOEXOEXO

my solution is y^3/x^6 but I don't know if it is correct or not

3. anonymous

so your function is: $\large \left(\frac{x^3y^4}{xy^5}\right)^3$ and you distribute the cubic power to all terms in the numerator and denominator : $\large \left(\frac{x^6y^{12}}{x^3y^{15}}\right)$ now split up the x and y terms and simplify. $\large \frac{x^6}{x^3} \cdot \frac{y^{12}}{y^{15}} = x^{6-3} \cdot y^{12-15}$ For negative powers, you stick them in the denominator.

4. EXOEXOEXO

$x ^{-9}$

5. EXOEXOEXO

(x^3y^4/xy^5)^-3