How do you simplify #(2x^6y^2)(-2x^5y^-1)#?

1 Answer
Mar 1, 2016

#-4x^11y#

Explanation:

Group like terms with one another.

#=(2xx-2)(x^6xxx^5)(y^2xxy^-1)#

To deal with the variable terms, use the rule about multiplying exponential terms with the same base:

#a^bxxa^c=a^(b+c)#

This gives us

#=-4x^(6+5)y^(2-1)#

#=-4x^11y^1#

#=-4x^11y#