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Maths help

Hey guys, so I'm doing fraction powers or whatever and one of the questions was :

3x^1/3 / 6x^2/3

I got the answer of 1/2x^-1/3 . This was the right answer, however it allowed you to simplify that answer to:

1 / 2(3.x) , where the 3. means cube root. So 2(cuberoot of x). It is written as a fraction.

I understand how I got the first answer. What I don't understand is how they get the second answer in the form of a fraction.

I get that if you have a number to the power of 1/3 it cuberoots the number. However it's a negative which makes it more confusing.

Thankyou!

Reply 1

winnerchicdinner

so 3x^(1/3)/6x^(2/3)

goes to x^(1/3)/2x^(2/3)

then to x^(1/3)*x^-(2/3)/2

then x^-(1/3)/2

finally to 1/x^(1/3)

which is 1/cuberoot(x)

so your second stage is slightly wrong