Write the Fraction in Simplest Form (3(d^4)^5)/(15d)

$\frac{3 {(d^{4})}^{5}}{15 d}$

Cancel the common factor of $3$ and $15$ .

Factor $3$ out of $3 {(d^{4})}^{5}$ .

$\frac{3 ({(d^{4})}^{5})}{15 d}$

Cancel the common factors.

Factor $3$ out of $15 d$ .

$\frac{3 ({(d^{4})}^{5})}{3 (5 d)}$

Cancel the common factor.

$\frac{3 {(d^{4})}^{5}}{3 (5 d)}$

Rewrite the expression.

$\frac{{(d^{4})}^{5}}{5 d}$

Multiply the exponents in ${(d^{4})}^{5}$ .

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

$\frac{d^{4 \cdot 5}}{5 d}$

Multiply $4$ by $5$ .

$\frac{d^{20}}{5 d}$

Cancel the common factor of $d^{20}$ and $d$ .

Factor $d$ out of $d^{20}$ .

$\frac{d \cdot d^{19}}{5 d}$

Cancel the common factors.

Factor $d$ out of $5 d$ .

$\frac{d \cdot d^{19}}{d \cdot 5}$

Cancel the common factor.

$\frac{d \cdot d^{19}}{d \cdot 5}$

Rewrite the expression.

$\frac{d^{19}}{5}$