How do you simplify $((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2$ ?

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Answer 1 · 2017-04-30T13:36:31

See below.

We know that when there is a negative we flip the expression (i.e, $x^-1=1/x$ ).

Let's do that for this expression first.

$((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2$

$((-3x^2z^5)/(6x^6y^2z^2))^-2$

Now we simplify like terms.

$((-z^3)/(x^4y^2))^-2$

Since the expression is to the $-2$ , we again flip everything.

$((x^4y^2)/(-z^3))^2$

Now we square each term.

$(x^8y^4)/(z^6)$

How do you simplify ((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2?