Question

Find the quotient. Express the final result using positive integer exponents only (72x^-1 y^4)^-1 / (8x^8y^3)

Answer 1

`(1)/(576x^7y^7)`

Explanation:

We have the following function:

`(\left(72x^(-1)y^4\right)^(-1))/(8x^8y^3)`

We operate to simplify and we are left with the following:

`(72^(-1)x^(-1\cdot-1)y^(4\cdot-1))/(8x^8y^3)=((1)/(72)xy^(-4))/(8x^8y^3)=(1)/(72\cdot8\cdot x^8\cdot x^(-1)\cdot y^3\cdot y^4)=(1)/(576x^7y^7)`