Simplify ((3x-1)/(x^(2/3)))/(3x^(-2/3))

$\frac{(\frac{3 x - 1}{x^{\frac{2}{3}}})}{3 x^{- \frac{2}{3}}}$

Step 1

Move $x^{- \frac{2}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{\frac{3 x - 1}{x^{\frac{2}{3}}} x^{\frac{2}{3}}}{3}$

Step 2

Combine $\frac{3 x - 1}{x^{\frac{2}{3}}}$ and $x^{\frac{2}{3}}$ .

$\frac{\frac{(3 x - 1) x^{\frac{2}{3}}}{x^{\frac{2}{3}}}}{3}$

Step 3

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{(3 x - 1) x^{\frac{2}{3}}}{x^{\frac{2}{3}}}$ by cancelling the common factors.

Cancel the common factor.

$\frac{\frac{(3 x - 1) x^{\frac{2}{3}}}{x^{\frac{2}{3}}}}{3}$

Rewrite the expression.

$\frac{\frac{3 x - 1}{1}}{3}$

Divide $3 x - 1$ by $1$ .

$\frac{3 x - 1}{3}$