Simplify (5xy)(6yz)(7xz)

$(5 x y) (6 y z) (7 x z)$

Step 1

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

Move $x$ .

$5 (x \cdot x) y (6 y z) (7 z)$

Multiply $x$ by $x$ .

$5 x^{2} y (6 y z) (7 z)$

$5 x^{2} y (6 y z) (7 z)$

Step 2

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

Move $y$ .

$5 x^{2} (y \cdot y) (6 z) (7 z)$

Multiply $y$ by $y$ .

$5 x^{2} y^{2} (6 z) (7 z)$

$5 x^{2} y^{2} (6 z) (7 z)$

Step 3

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

Move $z$ .

$5 x^{2} y^{2} (6 (z \cdot z)) \cdot 7$

Multiply $z$ by $z$ .

$5 x^{2} y^{2} (6 z^{2}) \cdot 7$

$5 x^{2} y^{2} (6 z^{2}) \cdot 7$

Step 4

Multiply $6$ by $5$ .

$30 x^{2} y^{2} z^{2} \cdot 7$

Step 5

Multiply $7$ by $30$ .

$210 x^{2} y^{2} z^{2}$

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