(xy)^-3/(x^-5y)^3
= (1/xy)^3 / ( (1/x^5) y)^3
= (1/x^3(1/y^3) / ( (1/x^15)(y^3) )
= (1/x^3)(1/y^3) (x^15)(1/y^3)
= x^12 / y^6
Will someone please help me with the answer to the following:
Simplify:
(xy)^-3/(x^-5y)^3
2 answers
(xy)^-3 = 1/(x^3y^3)
(x^-5y)^3 = x^-15y^3 = y^3/x^15
So, you have
1/(x^3y^3) / (y^3/x^15)
= 1/(x^3y^3) * x^15/y^3
= x^15/(x^3y^3y^3)
= x^15/(x^3y^6)
= x^12/y^6
(x^-5y)^3 = x^-15y^3 = y^3/x^15
So, you have
1/(x^3y^3) / (y^3/x^15)
= 1/(x^3y^3) * x^15/y^3
= x^15/(x^3y^3y^3)
= x^15/(x^3y^6)
= x^12/y^6