How do you divide \frac { x ^ { - 7} ( y ^ { - 4} z ^ { 1} ) ^ { 2} } { x ^ { - 6} y ^ { 5} z ^ { 8} }?

1 Answer
Austte
Oct 7, 2017

frac{1}{xy^13z^6}

Explanation:

Reduce the fraction with x^-7
frac{(y^-4z)^2}{xy^5z^8}
Use exponent rules. To raise a product to a power, raise each factor to that power.
frac{y^-8z^2}{xy^5z^8}
Reduce the fraction
frac{1}{xy^13z^6}

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