Write the Fraction in Simplest Form ((2d)^3)/(2d^5)

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

Step 1

Simplify the numerator.

Apply the product rule to $2 d$ .

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

Raise $2$ to the power of $3$ .

$\frac{8 d^{3}}{2 d^{5}}$

$\frac{8 d^{3}}{2 d^{5}}$

Step 2

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 d^{3}$ .

$\frac{2 (4 d^{3})}{2 d^{5}}$

Cancel the common factors.

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

$\frac{2 (4 d^{3})}{2 (d^{5})}$

Cancel the common factor.

$\frac{2 (4 d^{3})}{2 d^{5}}$

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $d^{3}$ and $d^{5}$ .

Factor $d^{3}$ out of $4 d^{3}$ .

$\frac{d^{3} \cdot 4}{d^{5}}$

Cancel the common factors.

Factor $d^{3}$ out of $d^{5}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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