Pre-Algebra Examples

$x y z \div \frac{1}{x y z}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$x y z (x y z)$

Step 2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1

Move $x$ .

$x \cdot x y z (y z)$

Step 2.2

Multiply $x$ by $x$ .

$x^{2} y z (y z)$

Step 3

Multiply $y$ by $y$ by adding the exponents.

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Step 3.1

Move $y$ .

$x^{2} (y \cdot y) z \cdot z$

Step 3.2

Multiply $y$ by $y$ .

$x^{2} y^{2} z \cdot z$

Step 4

Multiply $z$ by $z$ by adding the exponents.

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Step 4.1

Move $z$ .

$x^{2} y^{2} (z \cdot z)$

Step 4.2

Multiply $z$ by $z$ .

$x^{2} y^{2} z^{2}$