Pre-Algebra Examples

$(3 x^{a} y^{b} z^{c}) (- y^{f} z^{g})$

Step 1

Multiply $y^{b}$ by $y^{f}$ by adding the exponents.

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Step 1.1

Move $y^{f}$ .

$3 x^{a} (y^{f} y^{b}) z^{c} (- 1 z^{g})$

Step 1.2

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

$3 x^{a} y^{f + b} z^{c} (- 1 z^{g})$

Step 2

Multiply $z^{c}$ by $z^{g}$ by adding the exponents.

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Step 2.1

Move $z^{g}$ .

$3 x^{a} y^{f + b} (z^{g} z^{c}) \cdot - 1$

Step 2.2

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

$3 x^{a} y^{f + b} z^{g + c} \cdot - 1$

Step 3

Multiply $- 1$ by $3$ .

$- 3 x^{a} y^{f + b} z^{g + c}$