Question

What is the simplified form of 1 over x–cubed all over 3 over x squared ?.

Answer 1

Answer: Simplified form is
`(1)/(3x)`

Explanation:

Since we have given that

`((1)/(x^3))/((3)/(x^2))`

We need to simplify the above expression:

By using "Exponential rule":

`a^m/ a^n=a^(m-n)`

`((1)/(x^3))/((3)/(x^2))\\\\=(1)/(x^3)* (x^2)/(3)\\\\=(1)/(3)* (x^2)/(x^3)\\\\=(1)/(3x^(3-2))\\\\=(1)/(3x)`

Hence, Simplified form is
`(1)/(3x)`

Answer 2

Dividing fractions means to invert ( flip over ) the second fraction and multiply:

`( (1)/( x^(3) ) )/( (3)/( x^(2) ) ) = (1)/( x^(3) ) : (3)/( x^(2) ) = \\ (1)/( x^(3) ) * ( x^(2) )/(3)= (1)/(3x)`
Answer: 1 / 3x