Algebra Examples

$\frac{8 x^{3} y^{12} z^{- 2}}{24 x^{23} y^{4} z^{- 2}}$

Step 1

Cancel the common factor of $8$ and $24$ .

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Step 1.1

Factor $8$ out of $8 x^{3} y^{12} z^{- 2}$ .

$\frac{8 (x^{3} y^{12} z^{- 2})}{24 x^{23} y^{4} z^{- 2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $8$ out of $24 x^{23} y^{4} z^{- 2}$ .

$\frac{8 (x^{3} y^{12} z^{- 2})}{8 (3 x^{23} y^{4} z^{- 2})}$

Step 1.2.2

Cancel the common factor.

$\frac{8 (x^{3} y^{12} z^{- 2})}{8 (3 x^{23} y^{4} z^{- 2})}$

Step 1.2.3

Rewrite the expression.

$\frac{x^{3} y^{12} z^{- 2}}{3 x^{23} y^{4} z^{- 2}}$

Step 2

Cancel the common factor of $x^{3}$ and $x^{23}$ .

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Step 2.1

Factor $x^{3}$ out of $x^{3} y^{12} z^{- 2}$ .

$\frac{x^{3} (y^{12} z^{- 2})}{3 x^{23} y^{4} z^{- 2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x^{3}$ out of $3 x^{23} y^{4} z^{- 2}$ .

$\frac{x^{3} (y^{12} z^{- 2})}{x^{3} (3 x^{20} y^{4} z^{- 2})}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{3} (y^{12} z^{- 2})}{x^{3} (3 x^{20} y^{4} z^{- 2})}$

Step 2.2.3

Rewrite the expression.

$\frac{y^{12} z^{- 2}}{3 x^{20} y^{4} z^{- 2}}$

Step 3

Cancel the common factor of $y^{12}$ and $y^{4}$ .

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Step 3.1

Factor $y^{4}$ out of $y^{12} z^{- 2}$ .

$\frac{y^{4} (y^{8} z^{- 2})}{3 x^{20} y^{4} z^{- 2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y^{4}$ out of $3 x^{20} y^{4} z^{- 2}$ .

$\frac{y^{4} (y^{8} z^{- 2})}{y^{4} (3 x^{20} z^{- 2})}$

Step 3.2.2

Cancel the common factor.

$\frac{y^{4} (y^{8} z^{- 2})}{y^{4} (3 x^{20} z^{- 2})}$

Step 3.2.3

Rewrite the expression.

$\frac{y^{8} z^{- 2}}{3 x^{20} z^{- 2}}$

Step 4

Cancel the common factor of $z^{- 2}$ .

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Step 4.1

Cancel the common factor.

$\frac{y^{8} z^{- 2}}{3 x^{20} z^{- 2}}$

Step 4.2

Rewrite the expression.

$\frac{y^{8}}{3 x^{20}}$