Question

How do you simplify `(7d^-6)(-4d^-2)`?

Answer 1

`-28/d^8`

Explanation:

To multiply `d^-6` and `d^-2`, you only have to add their exponents together (Law of Indices). Also, to remove the negative sign from the exponent, you simply have to get the reciprocal of the base.

`(7d^(−6))(−4d^(−2))`

`=(7)*(-4)⋅(d^(-6+(-2)))`

`=(-28)*(d^-8)`

`=(-28)*(1/d^8)`

`=color(blue)(-28/d^8)`