rijalsuryaprasad59
rijalsuryaprasad59 rijalsuryaprasad59
  • 30-03-2022
  • Mathematics
contestada

Simplify by using the laws of indices: 3(112 m^11 n^-2) ÷ (672 m^3 n^2) ​

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sqdancefan
sqdancefan sqdancefan
  • 13-04-2022

Answer:

  (m^8)/(2n^4)

Step-by-step explanation:

The relevant laws of indices are ...

  • (a^b)/(a^c) = a^(b-c)
  • a^-b = 1/a^b

__

Simplifying the given expression using these rules gives ...

  [tex]3\dfrac{112m^{11}n^{-2}}{672m^3n^2}=\dfrac{336}{672}m^{11-3}n^{-2-2}=\boxed{\dfrac{m^8}{2n^4}}[/tex]

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