(-2x^2y^-3z)^-2

Question

(2x²y^-3z)^-2

I would like to learn the steps to solve this problem

Answer 1

Hi Becky, you cannot solve this problem, but you can evaluate it using the rules of exponents.

 

(-2x²y^-3z)^-2

 

Multiply each variable power and coefficient power by -2:

 

-2^1*-2x^2*-2y^-3*-2z^1*-2

 

-2^-2x^-4y⁶z^-2

 

Rewrite with only positive exponents:

 

y⁶/(-2²x⁴z²)

 

And finally:

 

y⁶/4x⁴z²

 

Questions?