left(frac{x^{3} y^{-4} z}{x y^{4 x^{-2}}}right)left(frac{x y^{3} z^{2}}{x^{2} y^{3} z^{2}}right)

Question

Accepted Answer

Step:1 ：Given the expression: (left(frac{x^{3} y^{-4} z}{x y^{4 x^{-2}}}right)left(frac{x y^{3} z^{2}}{x^{2} y^{3} z^{2}}right))Step:2 ：Apply the laws of exponents, which state that when multiplying like bases, you add the exponents, and when dividing like bases, you subtract the exponents.Step:3 ：Simplify the expression to: (x*y^{-4 - 4/x^2}*z)Step:4 ：Final Answer: (boxed{x*y^{-4 - 4/x^2}*z})

Answer

Step: 1 ：Given the expression: (left(frac{x^{3} y^{-4} z}{x y^{4 x^{-2}}}right)left(frac{x y^{3} z^{2}}{x^{2} y^{3} z^{2}}right))Step: 2 ：Apply the laws of exponents, which state that when multiplying like bases, you add the exponents, and when dividing like bases, you subtract the exponents.Step: 3 ：Simplify the expression to: (x*y^{-4 - 4/x^2}*z)Step: 4 ：Final Answer: (boxed{x*y^{-4 - 4/x^2}*z})

$\left(\frac{x^{3} y^{-4} z}{x y^{4 x^{-2}}}\right)\left(\frac{x y^{3} z^{2}}{x^{2} y^{3} z^{2}}\right)$

Answer

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