Write the Fraction in Simplest Form (5d^9)/((4d)^2)

$\frac{5 d^{9}}{{(4 d)}^{2}}$

Simplify the denominator.

Apply the product rule to $4 d$ .

$\frac{5 d^{9}}{4^{2} d^{2}}$

Raise $4$ to the power of $2$ .

$\frac{5 d^{9}}{16 d^{2}}$

$\frac{5 d^{9}}{16 d^{2}}$

Cancel the common factor of $d^{9}$ and $d^{2}$ .

Factor $d^{2}$ out of $5 d^{9}$ .

$\frac{d^{2} (5 d^{7})}{16 d^{2}}$

Cancel the common factors.

Factor $d^{2}$ out of $16 d^{2}$ .

$\frac{d^{2} (5 d^{7})}{d^{2} \cdot 16}$

Cancel the common factor.

$\frac{d^{2} (5 d^{7})}{d^{2} \cdot 16}$

Rewrite the expression.

$\frac{5 d^{7}}{16}$

$\frac{5 d^{7}}{16}$

$\frac{5 d^{7}}{16}$

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