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Simplify the x terms using the rule (a^m)/(aⁿ) = a^m-n.

Mathematics

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Answer

x7y9z2x^7 y^9 z^2

Step-by-step solution

4 steps

  1. Simplify the xx terms using the rule aman=am−n\frac{a^m}{a^n} = a^{m-n}.

    x6x−1=x6−(−1)=x6+1=x7\frac{x^6}{x^{-1}} = x^{6 - (-1)} = x^{6+1} = x^7

  2. Simplify the yy terms.

    The yy term is only in the numerator:

    y9y^9

  3. Simplify the zz terms using the rule aman=am−n\frac{a^m}{a^n} = a^{m-n}.

    z−3z−5=z−3−(−5)=z−3+5=z2\frac{z^{-3}}{z^{-5}} = z^{-3 - (-5)} = z^{-3+5} = z^2

  4. Combine the simplified terms.

    x7y9z2x^7 y^9 z^2
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