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

${(x^{\frac{3}{4}})}^{\frac{4}{3}}$

Step 1

Multiply the exponents in ${(x^{\frac{3}{4}})}^{\frac{4}{3}}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$x^{1}$

Step 2

Simplify.

$x$