How do you simplify #(7d^-6)(-4d^-2)#? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer Rafael Sep 24, 2015 #-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)# Answer link Related questions What are Monomial Factors of Polynomials? How do you factor polynomials by finding the greatest common factor? How can a factoring problem be checked? How do you find the greatest common factors of variable expressions? How do you factor #3a+9b+6#? What is the greatest common factor of #a^3-3a^2+4a#? How do you factor #12xy+24xy^2+36xy^3#? How do you find the greatest common factor of #45y^{12}+30y^{10}#? How do you factor #92x^10y^4 - 54x^12y^9#? How do you factor #4x^2+x#? See all questions in Monomial Factors of Polynomials Impact of this question 393 views around the world You can reuse this answer Creative Commons License