LynnoxN494923 LynnoxN494923
  • 25-10-2022
  • Mathematics
contestada

Simplify the following expression. Assume variables are positive. Express your answer using rational exponents.

Simplify the following expression Assume variables are positive Express your answer using rational exponents class=

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KevontaeM428596 KevontaeM428596
  • 25-10-2022

Let's simplify the expression:

[tex]\begin{gathered} (x^{-\frac{1}{2}}\cdot y^{-\frac{2}{3}}\cdot z^{-2})^{-\frac{1}{2}}=x^{(-\frac{1}{2})(-\frac{1}{2})}y^{(-\frac{2}{3})(-\frac{1}{2})}z^{(-2)(-\frac{1}{2})} \\ =x^{\frac{1}{4}}y^{\frac{1}{3}}z \end{gathered}[/tex]

Therefore the answer is:

[tex]x^{\frac{1}{4}}y^{\frac{1}{3}}z[/tex]

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