Simplify (s^2t^3)/r*(sr^3)/t

$\frac{s^{2} t^{3}}{r} \cdot \frac{s r^{3}}{t}$

Step 1

Combine.

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

Step 2

Multiply $s^{2}$ by $s$ by adding the exponents.

Move $s$ .

$\frac{s \cdot s^{2} t^{3} r^{3}}{r t}$

Multiply $s$ by $s^{2}$ .

Raise $s$ to the power of $1$ .

$\frac{s^{1} s^{2} t^{3} r^{3}}{r t}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{s^{1 + 2} t^{3} r^{3}}{r t}$

$\frac{s^{1 + 2} t^{3} r^{3}}{r t}$

Add $1$ and $2$ .

$\frac{s^{3} t^{3} r^{3}}{r t}$

$\frac{s^{3} t^{3} r^{3}}{r t}$

Step 3

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

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

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

Cancel the common factors.

Factor $t$ out of $r t$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{s^{3} t^{2} r^{3}}{r}$

$\frac{s^{3} t^{2} r^{3}}{r}$

$\frac{s^{3} t^{2} r^{3}}{r}$

Step 4

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

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

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

Cancel the common factors.

Raise $r$ to the power of $1$ .

$\frac{r (s^{3} t^{2} r^{2})}{r^{1}}$

Factor $r$ out of $r^{1}$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{s^{3} t^{2} r^{2}}{1}$

Divide $s^{3} t^{2} r^{2}$ by $1$ .

$s^{3} t^{2} r^{2}$

$s^{3} t^{2} r^{2}$

$s^{3} t^{2} r^{2}$

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