Write in Exponential Form cube root of fourth root of 228

$\sqrt[3]{\sqrt[4]{228}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{228}$ as $228^{\frac{1}{4}}$ .

$\sqrt[3]{228^{\frac{1}{4}}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{228^{\frac{1}{4}}}$ as $228^{\frac{\frac{1}{4}}{3}}$ .

$228^{\frac{\frac{1}{4}}{3}}$

Multiply the numerator by the reciprocal of the denominator.

$228^{\frac{1}{4} \cdot \frac{1}{3}}$

Multiply $\frac{1}{4} \cdot \frac{1}{3}$ .

Multiply $\frac{1}{4}$ by $\frac{1}{3}$ .

$228^{\frac{1}{4 \cdot 3}}$

Multiply $4$ by $3$ .

$228^{\frac{1}{12}}$