Write in Exponential Form ( cube root of 10y)^3

${(\sqrt[3]{10 y})}^{3}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{10 y}$ as ${(10 y)}^{\frac{1}{3}}$ .

${({(10 y)}^{\frac{1}{3}})}^{3}$

Multiply the exponents in ${({(10 y)}^{\frac{1}{3}})}^{3}$ .

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

${(10 y)}^{\frac{1}{3} \cdot 3}$

Cancel the common factor of $3$ .

Cancel the common factor.

${(10 y)}^{\frac{1}{3} \cdot 3}$

Rewrite the expression.

${(10 y)}^{1}$

Simplify.

$10 y$