Simplify (3d^-4)(5d^8)

$(3 d^{- 4}) (5 d^{8})$

Step 1

Rewrite using the commutative property of multiplication.

$3 \cdot 5 d^{- 4} d^{8}$

Step 2

Multiply $d^{- 4}$ by $d^{8}$ by adding the exponents.

Move $d^{8}$ .

$3 \cdot 5 (d^{8} d^{- 4})$

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

$3 \cdot 5 d^{8 - 4}$

Subtract $4$ from $8$ .

$3 \cdot 5 d^{4}$

Step 3

Multiply $3$ by $5$ .

$15 d^{4}$