l3x1l0u
l3x1l0u l3x1l0u
  • 24-01-2020
  • Mathematics
contestada

what is the quotient of m^6/5 divided by 5/m^2

Respuesta :

gmany
gmany gmany
  • 24-01-2020

Answer:

[tex]\large\boxed{\dfrac{m^8}{25}}[/tex]

Step-by-step explanation:

[tex]\dfrac{m^6}{5}\div\dfrac{5}{m^2}\\\\\text{Divide by a fraction is the same as multiply by its reciprocal}\\\\=\dfrac{m^6}{5}\times\dfrac{m^2}{5}=\dfrac{m^6\times m^2}{5\times5}\\\\\text{use}\ a^n\times a^m=a^{n+m}\\\\=\dfrac{m^{6+2}}{25}=\dfrac{m^8}{25}[/tex]

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