How do you multiply -5x ^ { 3} ( 3x ^ { - 7} )?

2 Answers
Jul 17, 2017

The main consept is to add the exponents.

Explanation:

-5x^3(3x^(-7))=-15x^3x^ (-7)=-15x^(3-7)=-15x^(-4)

Some basics of Indices,
x^m.x^n=x^(m+n)
-
Now,
-5(x^3)*(3*x^(-7))
-(5*3)*(x^3*x^(-7))
-(15)*(x^(3-7))

-(15)*(x^-4)
Hence,
-15/(x^4)