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[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

[tex]\longrightarrow \huge{1}[/tex]

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Answer:

  • See below

Step-by-step explanation:

Given:

  • [tex]a = xy^{p-1}[/tex]
  • [tex]b = xy^{q-1}[/tex]
  • [tex]c = xy^{r-1}[/tex]

Solution:

  • [tex]a^{q-r}b^{r-p}c^{p-q} =[/tex]
  • [tex](xy^{p-1})^{q-r}(xy^{q-1})^{r-p}(xy^{r-1})^{p-q} =[/tex]
  • [tex]x^{q-r+r-p+p-q}y^{pq-q-pr+r+qr-r-pq+p+pr-p-qr+q} =[/tex]
  • [tex]x^0y^0 =[/tex]
  • 1*1 =
  • 1

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