yaviely2003 yaviely2003
  • 03-06-2022
  • Mathematics
contestada

Simplify the expression.
Show your work.
4 √81m^8n^16

Simplify the expression Show your work 4 81m8n16 class=

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zeldacheree
zeldacheree zeldacheree
  • 03-06-2022

Answer:

hope you can understand

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Аноним Аноним
  • 03-06-2022

Answer:

3m²n⁴

Step-by-step explanation:

Given :

⇒ [tex]\sqrt[4]{81m^{8}n^{16} }[/tex]

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Solving :

⇒ [tex]\sqrt[4]{81}[/tex] × [tex]\sqrt[4]{m^{8} }[/tex] × [tex]\sqrt[4]{n^{16} }[/tex]

⇒ [tex]\sqrt[4]{3^{4} }[/tex] × [tex]\sqrt[4]{(m^{2})^{4} }[/tex] × [tex]\sqrt[4]{(n^{4})^{4} }[/tex]

⇒ 3 × m² × n⁴

⇒ 3m²n⁴

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