How do you multiply #-6x ^ { 9} \cdot 4x ^ { 6}#?

1 Answer
Jan 10, 2018

See a solution process below:

Explanation:

First, rewrite the expression as:

#(-6 * 4)(x^9 * x^6) => -24(x^9 * x^6)#

Now, use this rule for exponents to multiply the #x# terms:

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#-24(x^color(red)(9) xx x^color(blue)(6)) => -24x^(color(red)(9) + color(blue)(6)) => -24x^15#