How do you simplify #(x y ) ( x ^ { 2} y ^ { 2} )#?

Question

1709 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-30T18:28:56

See a solution process below:

First, rewrite the expression as:

#(x * x^2)(y * y^2)#

Next, use this rule of exponents to rewrite the expression again:

#a = a^color(red)(1)#

#(x^color(red)(1) * x^2)(y^color(red)(1) * y^2)#

Now, use this rule for exponents to complete the simplification:

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

#(x^color(red)(1) * x^color(blue)(2))(y^color(red)(1) * y^color(blue)(2)) =>#

#x^(color(red)(1)+color(blue)(2))y^(color(red)(1)+color(blue)(2)) =>#

#x^3y^3#