Evaluate 3d^-4*4d^4

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

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

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

Move $d^{4}$ .

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

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

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

Subtract $4$ from $4$ .

$3 \cdot 4 d^{0}$

Step 3

Simplify $3 \cdot 4 d^{0}$ .

$3 \cdot 4$

Step 4

Multiply $3$ by $4$ .

$12$