Simplify (d^2)/(ef)*(5e^5f)/(4d)

$\frac{d^{2}}{e f} \cdot \frac{5 e^{5} f}{4 d}$

Combine.

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

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

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

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

Cancel the common factors.

Factor $d$ out of $e f (4 d)$ .

$\frac{d (d (5 e^{5} f))}{d (e f \cdot (4))}$

Cancel the common factor.

$\frac{d (d (5 e^{5} f))}{d (e f \cdot (4))}$

Rewrite the expression.

$\frac{d (5 e^{5} f)}{e f \cdot (4)}$

$\frac{d (5 e^{5} f)}{e f \cdot (4)}$

$\frac{d (5 e^{5} f)}{e f \cdot (4)}$

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

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

$\frac{e (d (5 e^{4} f))}{e f \cdot (4)}$

Cancel the common factors.

Factor $e$ out of $e f \cdot (4)$ .

$\frac{e (d (5 e^{4} f))}{e (f \cdot (4))}$

Cancel the common factor.

$\frac{e (d (5 e^{4} f))}{e (f \cdot (4))}$

Rewrite the expression.

$\frac{d (5 e^{4} f)}{f \cdot (4)}$

$\frac{d (5 e^{4} f)}{f \cdot (4)}$

$\frac{d (5 e^{4} f)}{f \cdot (4)}$

Cancel the common factor of $f$ .

Cancel the common factor.

$\frac{d (5 e^{4} f)}{f \cdot 4}$

Rewrite the expression.

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

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

Move $5$ to the left of $d$ .

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

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