Precalculus Examples

$(- 3 x^{- 2}) (4 x^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$- 3 \cdot 4 x^{- 2} x^{4}$

Step 2

Multiply $x^{- 2}$ by $x^{4}$ by adding the exponents.

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Step 2.1

Move $x^{4}$ .

$- 3 \cdot 4 (x^{4} x^{- 2})$

Step 2.2

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

$- 3 \cdot 4 x^{4 - 2}$

Step 2.3

Subtract $2$ from $4$ .

$- 3 \cdot 4 x^{2}$

Step 3

Multiply $- 3$ by $4$ .

$- 12 x^{2}$