( 6 a 4 b c ) ( 7 a b 3 c ) = 6 ⋅ 7 ⋅ a 4 ⋅ a ⋅ b ⋅ b 3 ⋅ c ⋅ c = = 42 ⋅ a 4 + 1 ⋅ b 1 + 3 ⋅ c 1 + 1 = 42 a 5 b 4 c 2
To simplify the expression ( 6 a 4 b c ) ( 7 a b 3 c ) , first multiply the coefficients to get 42. Then combine the variables by adding the exponents for like bases, resulting in 42 a 5 b 4 c 2 . The final answer is 42 a 5 b 4 c 2 .
;