Simplify (x^-5*(y^-6*z^1)^2)/(x^4*y^-1*z^-2)

Write your answer with positive exponents only.

Simplify (x^-5*(y^-6*z^1)^2)/(x^4*y^-1*z^-2)

Write your answer with positive exponents only.

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Kevin S. |

That looks like [x^{-5} (y^{-6}z^{1})^{2}]/(x^{4}y^{-1}z^{-2})

First, simplify the exponent outside the innermost parentheses:

[x^{-5} y^{-12}z^{2} / (x^{4}y^{-1}z^{-2})

From there, subtract the exponents of the similar factors in the denominator from the exponents in the numerator:

x^{-5-4 }y^{-12 - (-1)}z^{2 - (-2)}

x^{-9 }y^{-11 }z^{4}

Since x^{-a} = 1/x^{a}, anything with a negative exponent gets moved to the denominator:

z^{4 }/ (x^{9}y^{11})

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