Simplify (35i^7j^3)/(7i^2j^3)

$\frac{35 i^{7} j^{3}}{7 i^{2} j^{3}}$

Cancel the common factor of $35$ and $7$ .

Factor $7$ out of $35 i^{7} j^{3}$ .

$\frac{7 (5 i^{7} j^{3})}{7 i^{2} j^{3}}$

Cancel the common factors.

Factor $7$ out of $7 i^{2} j^{3}$ .

$\frac{7 (5 i^{7} j^{3})}{7 (i^{2} j^{3})}$

Cancel the common factor.

$\frac{7 (5 i^{7} j^{3})}{7 (i^{2} j^{3})}$

Rewrite the expression.

$\frac{5 i^{7} j^{3}}{i^{2} j^{3}}$

$\frac{5 i^{7} j^{3}}{i^{2} j^{3}}$

$\frac{5 i^{7} j^{3}}{i^{2} j^{3}}$

Cancel the common factor of $i^{7}$ and $i^{2}$ .

Factor $i^{2}$ out of $5 i^{7} j^{3}$ .

$\frac{i^{2} (5 i^{5} j^{3})}{i^{2} j^{3}}$

Cancel the common factors.

Factor $i^{2}$ out of $i^{2} j^{3}$ .

$\frac{i^{2} (5 i^{5} j^{3})}{i^{2} (j^{3})}$

Cancel the common factor.

$\frac{i^{2} (5 i^{5} j^{3})}{i^{2} j^{3}}$

Rewrite the expression.

$\frac{5 i^{5} j^{3}}{j^{3}}$

$\frac{5 i^{5} j^{3}}{j^{3}}$

$\frac{5 i^{5} j^{3}}{j^{3}}$

Cancel the common factor of $j^{3}$ .

Cancel the common factor.

$\frac{5 i^{5} j^{3}}{j^{3}}$

Divide $5 i^{5}$ by $1$ .

$5 i^{5}$

$5 i^{5}$

Factor out $i^{4}$ .

$5 (i^{4} i)$

Rewrite $i^{4}$ as $1$ .

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$5 ({(i^{2})}^{2} i)$

Rewrite $i^{2}$ as $- 1$ .

$5 ({(- 1)}^{2} i)$

Raise $- 1$ to the power of $2$ .

$5 (1 i)$

$5 (1 i)$

Multiply $i$ by $1$ .

$5 i$

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