Simplify (4r^2v^0t^5)/(2rt^3)

$\frac{4 r^{2} v^{0} t^{5}}{2 r t^{3}}$

Step 1

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 r^{2} v^{0} t^{5}$ .

$\frac{2 (2 r^{2} v^{0} t^{5})}{2 r t^{3}}$

Cancel the common factors.

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

$\frac{2 (2 r^{2} v^{0} t^{5})}{2 (r t^{3})}$

Cancel the common factor.

$\frac{2 (2 r^{2} v^{0} t^{5})}{2 (r t^{3})}$

Rewrite the expression.

$\frac{2 r^{2} v^{0} t^{5}}{r t^{3}}$

$\frac{2 r^{2} v^{0} t^{5}}{r t^{3}}$

$\frac{2 r^{2} v^{0} t^{5}}{r t^{3}}$

Step 2

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

Factor $r$ out of $2 r^{2} v^{0} t^{5}$ .

$\frac{r (2 r v^{0} t^{5})}{r t^{3}}$

Cancel the common factors.

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

$\frac{r (2 r v^{0} t^{5})}{r (t^{3})}$

Cancel the common factor.

$\frac{r (2 r v^{0} t^{5})}{r t^{3}}$

Rewrite the expression.

$\frac{2 r v^{0} t^{5}}{t^{3}}$

$\frac{2 r v^{0} t^{5}}{t^{3}}$

$\frac{2 r v^{0} t^{5}}{t^{3}}$

Step 3

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

Factor $t^{3}$ out of $2 r v^{0} t^{5}$ .

$\frac{t^{3} (2 r v^{0} t^{2})}{t^{3}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{t^{3} (2 r v^{0} t^{2})}{t^{3} \cdot 1}$

Cancel the common factor.

$\frac{t^{3} (2 r v^{0} t^{2})}{t^{3} \cdot 1}$

Rewrite the expression.

$\frac{2 r v^{0} t^{2}}{1}$

Divide $2 r v^{0} t^{2}$ by $1$ .

$2 r v^{0} t^{2}$

$2 r v^{0} t^{2}$

$2 r v^{0} t^{2}$

Step 4

Simplify the expression.

Anything raised to $0$ is $1$ .

$2 r \cdot 1 t^{2}$

Multiply $2$ by $1$ .

$2 r t^{2}$

$2 r t^{2}$

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