Simplify ( sixth root of k)(k)^10

$(\sqrt[6]{k}) {(k)}^{10}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{k}$ as $k^{\frac{1}{6}}$ .

$k^{\frac{1}{6}} k^{10}$

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

$k^{\frac{1}{6} + 10}$

To write $10$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$k^{\frac{1}{6} + 10 \cdot \frac{6}{6}}$

Combine $10$ and $\frac{6}{6}$ .

$k^{\frac{1}{6} + \frac{10 \cdot 6}{6}}$

Combine the numerators over the common denominator.

$k^{\frac{1 + 10 \cdot 6}{6}}$

Simplify the numerator.

Multiply $10$ by $6$ .

$k^{\frac{1 + 60}{6}}$

Add $1$ and $60$ .

$k^{\frac{61}{6}}$