Simplify (4(h^4)^4)/(12h)

$\frac{4 {(h^{4})}^{4}}{12 h}$

Step 1

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4 {(h^{4})}^{4}$ .

$\frac{4 ({(h^{4})}^{4})}{12 h}$

Cancel the common factors.

Factor $4$ out of $12 h$ .

$\frac{4 ({(h^{4})}^{4})}{4 (3 h)}$

Cancel the common factor.

$\frac{4 {(h^{4})}^{4}}{4 (3 h)}$

Rewrite the expression.

$\frac{{(h^{4})}^{4}}{3 h}$

Step 2

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

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

$\frac{h^{4 \cdot 4}}{3 h}$

Multiply $4$ by $4$ .

$\frac{h^{16}}{3 h}$

Step 3

Cancel the common factor of $h^{16}$ and $h$ .

Factor $h$ out of $h^{16}$ .

$\frac{h \cdot h^{15}}{3 h}$

Cancel the common factors.

Factor $h$ out of $3 h$ .

$\frac{h \cdot h^{15}}{h \cdot 3}$

Cancel the common factor.

$\frac{h \cdot h^{15}}{h \cdot 3}$

Rewrite the expression.

$\frac{h^{15}}{3}$