Finite Math Examples

$(3 x^{3}) (- 5 x^{- 2})$

Step 1

Rewrite using the commutative property of multiplication.

$3 \cdot - 5 x^{3} x^{- 2}$

Step 2

Multiply $x^{3}$ by $x^{- 2}$ by adding the exponents.

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Step 2.1

Move $x^{- 2}$ .

$3 \cdot - 5 (x^{- 2} x^{3})$

Step 2.2

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

$3 \cdot - 5 x^{- 2 + 3}$

Step 2.3

Add $- 2$ and $3$ .

$3 \cdot - 5 x^{1}$

Step 3

Simplify $3 \cdot - 5 x^{1}$ .

$3 \cdot - 5 x$

Step 4

Multiply $3$ by $- 5$ .

$- 15 x$