Question

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

Answer 1

The main consept is to add the exponents.

Explanation:

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

Answer 2

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)`