Simplify (21d^18e^5)/(7d^11e^6)

$\frac{21 d^{18} e^{5}}{7 d^{11} e^{6}}$

Step 1

Cancel the common factor of $21$ and $7$ .

Factor $7$ out of $21 d^{18} e^{5}$ .

$\frac{7 (3 d^{18} e^{5})}{7 d^{11} e^{6}}$

Cancel the common factors.

Factor $7$ out of $7 d^{11} e^{6}$ .

$\frac{7 (3 d^{18} e^{5})}{7 (d^{11} e^{6})}$

Cancel the common factor.

$\frac{7 (3 d^{18} e^{5})}{7 (d^{11} e^{6})}$

Rewrite the expression.

$\frac{3 d^{18} e^{5}}{d^{11} e^{6}}$

$\frac{3 d^{18} e^{5}}{d^{11} e^{6}}$

$\frac{3 d^{18} e^{5}}{d^{11} e^{6}}$

Step 2

Cancel the common factor of $d^{18}$ and $d^{11}$ .

Factor $d^{11}$ out of $3 d^{18} e^{5}$ .

$\frac{d^{11} (3 d^{7} e^{5})}{d^{11} e^{6}}$

Cancel the common factors.

Factor $d^{11}$ out of $d^{11} e^{6}$ .

$\frac{d^{11} (3 d^{7} e^{5})}{d^{11} (e^{6})}$

Cancel the common factor.

$\frac{d^{11} (3 d^{7} e^{5})}{d^{11} e^{6}}$

Rewrite the expression.

$\frac{3 d^{7} e^{5}}{e^{6}}$

$\frac{3 d^{7} e^{5}}{e^{6}}$

$\frac{3 d^{7} e^{5}}{e^{6}}$

Step 3

Cancel the common factor of $e^{5}$ and $e^{6}$ .

Factor $e^{5}$ out of $3 d^{7} e^{5}$ .

$\frac{e^{5} (3 d^{7})}{e^{6}}$

Cancel the common factors.

Factor $e^{5}$ out of $e^{6}$ .

$\frac{e^{5} (3 d^{7})}{e^{5} e}$

Cancel the common factor.

$\frac{e^{5} (3 d^{7})}{e^{5} e}$

Rewrite the expression.

$\frac{3 d^{7}}{e}$

$\frac{3 d^{7}}{e}$

$\frac{3 d^{7}}{e}$

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