Simplify (x^(4/3))/(x^(1/3))

$\frac{x^{\frac{4}{3}}}{x^{\frac{1}{3}}}$

Step 1

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

$x^{\frac{4}{3}} x^{- \frac{1}{3}}$

Step 2

Multiply $x^{\frac{4}{3}}$ by $x^{- \frac{1}{3}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{\frac{4}{3} - \frac{1}{3}}$

Combine the numerators over the common denominator.

$x^{\frac{4 - 1}{3}}$

Subtract $1$ from $4$ .

$x^{\frac{3}{3}}$

Divide $3$ by $3$ .

$x^{1}$

Step 3

Simplify $x^{1}$ .

$x$