Simplify 5d^6*d^-12

$5 d^{6} \cdot d^{- 12}$

Step 1

Multiply $d^{6}$ by $d^{- 12}$ by adding the exponents.

Move $d^{- 12}$ .

$5 (d^{- 12} d^{6})$

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

$5 d^{- 12 + 6}$

Add $- 12$ and $6$ .

$5 d^{- 6}$

Step 2

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

$5 \frac{1}{d^{6}}$

Step 3

Combine $5$ and $\frac{1}{d^{6}}$ .

$\frac{5}{d^{6}}$