Simplify (-10(pt^4)r)/(-5p^3t^2r)

$\frac{- 10 (p t^{4}) r}{- 5 p^{3} t^{2} r}$

Step 1

Cancel the common factor of $- 10$ and $- 5$ .

Factor $- 5$ out of $- 10 (p t^{4}) r$ .

$\frac{- 5 (2 (p t^{4}) r)}{- 5 p^{3} t^{2} r}$

Cancel the common factors.

Factor $- 5$ out of $- 5 p^{3} t^{2} r$ .

$\frac{- 5 (2 (p t^{4}) r)}{- 5 (p^{3} t^{2} r)}$

Cancel the common factor.

$\frac{- 5 (2 (p t^{4}) r)}{- 5 (p^{3} t^{2} r)}$

Rewrite the expression.

$\frac{2 (p t^{4}) r}{p^{3} t^{2} r}$

$\frac{2 (p t^{4}) r}{p^{3} t^{2} r}$

$\frac{2 (p t^{4}) r}{p^{3} t^{2} r}$

Step 2

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

Factor $p$ out of $2 (p t^{4}) r$ .

$\frac{p (2 (t^{4}) r)}{p^{3} t^{2} r}$

Cancel the common factors.

Factor $p$ out of $p^{3} t^{2} r$ .

$\frac{p (2 (t^{4}) r)}{p (p^{2} t^{2} r)}$

Cancel the common factor.

$\frac{p (2 (t^{4}) r)}{p (p^{2} t^{2} r)}$

Rewrite the expression.

$\frac{2 (t^{4}) r}{p^{2} t^{2} r}$

$\frac{2 (t^{4}) r}{p^{2} t^{2} r}$

$\frac{2 (t^{4}) r}{p^{2} t^{2} r}$

Step 3

Cancel the common factor of $t^{4}$ and $t^{2}$ .

Factor $t^{2}$ out of $2 (t^{4}) r$ .

$\frac{t^{2} (2 (t^{2}) r)}{p^{2} t^{2} r}$

Cancel the common factors.

Factor $t^{2}$ out of $p^{2} t^{2} r$ .

$\frac{t^{2} (2 (t^{2}) r)}{t^{2} (p^{2} r)}$

Cancel the common factor.

$\frac{t^{2} (2 (t^{2}) r)}{t^{2} (p^{2} r)}$

Rewrite the expression.

$\frac{2 (t^{2}) r}{p^{2} r}$

$\frac{2 (t^{2}) r}{p^{2} r}$

$\frac{2 (t^{2}) r}{p^{2} r}$

Step 4

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{2 (t^{2}) r}{p^{2} r}$

Rewrite the expression.

$\frac{2 (t^{2})}{p^{2}}$

$\frac{2 t^{2}}{p^{2}}$

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