What is #-2gh(g^3h^5)#?

1 Answer
Mar 13, 2018

See a solution process below:

Explanation:

First, rewrite the expression as:

#-2(g * g^3)(h * h^5)#

Then use these rules for exponents to simplify the expression:

#a = a^color(red)(1)# and #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#-2(g^color(red)(1) * g^color(blue)(3))(h^color(red)(1) * h^color(blue)(5)) =>#

#-2g^(color(red)(1)+color(blue)(3))h^(color(red)(1)+color(blue)(5)) =>#

#-2g^4h^6#