Question

How would i Simplify: the question: 5a^3 bc^2 ∙ -3abc

Answer 1

`(-5a^3bc^2)\cdot(-3abc)=((-5)(-3))(a^3a)(bb)(c^2c)\\\\=15a^(3+1)b^(1+1)c^(2+1)=\boxed{15a^4b^2c^3}\\\\\text{used}\\\\a^n\cdot a^m=a^(n+m)\\\\a=a^1\\\\a\cdot b=b\cdot a\ (commutative\ property)\\\\(a\cdot b)\cdot c=a\cdot(b\cdot c)\ (associative\ property)`