Algebra Examples

$\frac{9 p^{3} q^{2} r s^{0} t^{- 1}}{3 p^{2} r^{2} t}$

Step 1

Move $t^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{9 p^{3} q^{2} r}{3 p^{2} r^{2} t \cdot t}$

Step 2

Multiply $t$ by $t$ by adding the exponents.

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Step 2.1

Move $t$ .

$\frac{9 p^{3} q^{2} r}{3 p^{2} r^{2} (t \cdot t)}$

Step 2.2

Multiply $t$ by $t$ .

$\frac{9 p^{3} q^{2} r}{3 p^{2} r^{2} t^{2}}$

Step 3

Cancel the common factor of $9$ and $3$ .

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Step 3.1

Factor $3$ out of $9 p^{3} q^{2} r$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{3 p^{3} q^{2} r}{p^{2} r^{2} t^{2}}$

Step 4

Cancel the common factor of $p^{3}$ and $p^{2}$ .

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Step 4.1

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

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{3 p q^{2} r}{r^{2} t^{2}}$

Step 5

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

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Step 5.1

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

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

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

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{3 p q^{2}}{r t^{2}}$