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

1 Answer
Sep 24, 2015

Answer:

#-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)#