MelanyFear
83

# What is the cube root of -729a^9b^6

Well, cube root is basically x * x * x = y ( or in your case ? * ? * ? = -729 ) It should be easy to go thru the numbers to find out that -9 * -9 * -9 is -726. 9 and 6 don't have a cube root so, take what you can out of both. The best you can do is b^2 since the cube root of 2*2*2 = 8 So far: -9b^2 and then with a you can do 3*3 = 6 so it's be: a^3 ( since 9 - 6 = 3 and 6 - 4 = 2 ) -9a^3b^2. You're not done, you have a left over of a^3 and b^2, so... Your Answer: $-9a^3b^2 \sqrt[3]{a^3b^2}$