Simplify (6d^6)/(2(d^5)^2)

$\frac{6 d^{6}}{2 {(d^{5})}^{2}}$

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

Factor $2$ out of $6 d^{6}$ .

$\frac{2 (3 d^{6})}{2 {(d^{5})}^{2}}$

Cancel the common factors.

Factor $2$ out of $2 {(d^{5})}^{2}$ .

$\frac{2 (3 d^{6})}{2 ({(d^{5})}^{2})}$

Cancel the common factor.

$\frac{2 (3 d^{6})}{2 {(d^{5})}^{2}}$

Rewrite the expression.

$\frac{3 d^{6}}{{(d^{5})}^{2}}$

Multiply the exponents in ${(d^{5})}^{2}$ .

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

$\frac{3 d^{6}}{d^{5 \cdot 2}}$

Multiply $5$ by $2$ .

$\frac{3 d^{6}}{d^{10}}$

Cancel the common factor of $d^{6}$ and $d^{10}$ .

Factor $d^{6}$ out of $3 d^{6}$ .

$\frac{d^{6} \cdot 3}{d^{10}}$

Cancel the common factors.

Factor $d^{6}$ out of $d^{10}$ .

$\frac{d^{6} \cdot 3}{d^{6} d^{4}}$

Cancel the common factor.

$\frac{d^{6} \cdot 3}{d^{6} d^{4}}$

Rewrite the expression.

$\frac{3}{d^{4}}$