Simplify (x^(2/7))^(3/4)

${(x^{\frac{2}{7}})}^{\frac{3}{4}}$

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

$x^{\frac{2}{7} \cdot \frac{3}{4}}$

Cancel the common factor of $2$ .

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Factor $2$ out of $4$ .

$x^{\frac{2}{7} \cdot \frac{3}{2 (2)}}$

Cancel the common factor.

$x^{\frac{2}{7} \cdot \frac{3}{2 \cdot 2}}$

Rewrite the expression.

$x^{\frac{1}{7} \cdot \frac{3}{2}}$

Multiply $\frac{1}{7}$ and $\frac{3}{2}$ .

$x^{\frac{3}{7 \cdot 2}}$

Multiply $7$ by $2$ .

$x^{\frac{3}{14}}$

Simplify (x^(2/7))^(3/4)

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