How do you simplify #(sqrt(x^-5) + x^-5 y^7 z^-2) (x^9 y^-2 z^9)#?

1 Answer

Answer:

#x^(13/2)y^-2z^9+x^4y^5z^7#

Explanation:

From the given expression #(sqrt(x^-5)+x^-5y^7z^-2)(x^9y^-2z^9)#

Get the product

#(sqrt(x^-5)+x^-5y^7z^-2)(x^9y^-2z^9)#

#(x^(-5/2)+x^-5y^7z^-2)(x^9y^-2z^9)#

#x^(-5/2)*(x^9y^-2z^9)+(x^-5y^7z^-2)(x^9y^-2z^9)#

#x^(-5/2+9)*(y^-2z^9)+(x^(9-5)y^(7-2)z^(9-2))#

#x^(13/2)y^-2z^9+x^4y^5z^7#

God bless....I hope the explanation is useful.