How do you simplify ( -4x^-2y^-2)^2(−4x−2y−2)2?

1 Answer
Don't Memorise
Jun 15, 2015

=color(red)(16 x^-4 y^-4=16x−4y−4

Explanation:

(-4^1x^-2y^-2)^color(red)(2(−41x−2y−2)2
Here color(red)(22 needs to be multiplied with each term within the bracket:

=-4^(1 . color(red)(2))x^(-2. color(red)(2)) . y^(-2. color(red)(2)=−41.2x−2.2.y−2.2
=-4^2. x^-4 . y^-4=−42.x−4.y−4
=color(red)(16 x^-4 y^-4=16x−4y−4

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