Question

What is the simplest equivalent form of this expression?

Answer 1

we are given

`\sqrt[3]{(8x^6y^9)/(27y^3z^3)}`

we can split exponents

`=\frac{\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^9}}{\sqrt[3]{27}\sqrt[3]{y^3}\sqrt[3]{z^3}}`

now, we can simplify it

and we get

`=(2x^2y^3)/(3yz)`

now, we can see that y^3 is on top and y is on bottom

so, we can cancel it

`=(2x^2y^2)/(3z)`

so, option-B..........Answer