Solve frac{(x^{2}y^{-2}z)^-3}{x^-6z^-3y^6}

$$\frac { ( x ^ { 2 } y ^ { - 2 } z ) ^ { - 3 } } { x ^ { - 6 } z ^ { - 3 } y ^ { 6 } }$$

Evaluate

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Solution Steps

Expand \left(x^{2}y^{-2}z\right)^{-3}.

$$\frac{\left(x^{2}\right)^{-3}\left(y^{-2}\right)^{-3}z^{-3}}{x^{-6}z^{-3}y^{6}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and -3 to get -6.

$$\frac{x^{-6}\left(y^{-2}\right)^{-3}z^{-3}}{x^{-6}z^{-3}y^{6}}$$

To raise a power to another power, multiply the exponents. Multiply -2 and -3 to get 6.

$$\frac{x^{-6}y^{6}z^{-3}}{x^{-6}z^{-3}y^{6}}$$

Cancel out x^{-6}z^{-3}y^{6} in both numerator and denominator.

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Factor

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