Question

What is the cube root of -729a^9b^6?
-9a^3b^2
-9a^2b^
-8a^3b^2
-8a^2b^3

Answer 1

`= 9a^3b^2`

Explanation:

`\sqrt[3]{-729a^9b^6} =`

`= ((-9)^3a^9b^6)^{(1)/(3)`

`= (-9)^{3 * (1)/(3)} * a^{9 * (1)/(3)} * b^{6 * (1)/(3)}`

`= (-9)^(1) * a^(3) * b^(2)`

`= -9a^3b^2`