23.03.2023 - 00:37

Simplify. {8 x^{-4} y^5 z^{-7}} / {4 x^6 y^{-9}} Write your answer using only positive exponents.

Question:

Simplify.

{eq}\displaystyle dfrac {8 x^{-4} y^5 z^{-7}} {4 x^6 y^{-9}} {/eq}

Write your answer using only positive exponents.

Answers (1)
  • Dessie
    April 7, 2023 в 05:58
    The given expression can be simplified as follows: {eq}begin{align*} dfrac {8 x^{-4} y^5 z^{-7}} {4 x^6 y^{-9}} &= dfrac {8}{4}\cdot dfrac {x^{-4}}{x^6}\cdot dfrac {y^5}{y^{-9}}\cdot dfrac {z^{-7}}{1} \ &= 2\cdot x^{-4-6}\cdot y^{5+9}\cdot z^{-7} \ &= 2x^{-10}y^{14}z^{-7} end{align*} {/eq} Therefore, the simplified expression with only positive exponents is {eq}boxed{dfrac {2 y^{14}} {x^{10} z^7}} {/eq}.
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