Finite Math Examples

$4 d^{- 6} \cdot (3 d^{- 3})$

Step 1

Rewrite using the commutative property of multiplication.

$4 \cdot 3 d^{- 6} d^{- 3}$

Step 2

Multiply $d^{- 6}$ by $d^{- 3}$ by adding the exponents.

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Step 2.1

Move $d^{- 3}$ .

$4 \cdot 3 (d^{- 3} d^{- 6})$

Step 2.2

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

$4 \cdot 3 d^{- 3 - 6}$

Step 2.3

Subtract $6$ from $- 3$ .

$4 \cdot 3 d^{- 9}$

Step 3

Multiply $4$ by $3$ .

$12 d^{- 9}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$12 \frac{1}{d^{9}}$

Step 5

Combine $12$ and $\frac{1}{d^{9}}$ .

$\frac{12}{d^{9}}$