Simplify (2(a^4)^2)/(6a)

$\frac{2 {(a^{4})}^{2}}{6 a}$

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2 {(a^{4})}^{2}$ .

$\frac{2 ({(a^{4})}^{2})}{6 a}$

Cancel the common factors.

Factor $2$ out of $6 a$ .

$\frac{2 ({(a^{4})}^{2})}{2 (3 a)}$

Cancel the common factor.

$\frac{2 {(a^{4})}^{2}}{2 (3 a)}$

Rewrite the expression.

$\frac{{(a^{4})}^{2}}{3 a}$

Multiply the exponents in ${(a^{4})}^{2}$ .

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

$\frac{a^{4 \cdot 2}}{3 a}$

Multiply $4$ by $2$ .

$\frac{a^{8}}{3 a}$

Cancel the common factor of $a^{8}$ and $a$ .

Factor $a$ out of $a^{8}$ .

$\frac{a \cdot a^{7}}{3 a}$

Cancel the common factors.

Factor $a$ out of $3 a$ .

$\frac{a \cdot a^{7}}{a \cdot 3}$

Cancel the common factor.

$\frac{a \cdot a^{7}}{a \cdot 3}$

Rewrite the expression.

$\frac{a^{7}}{3}$