stephendedoming1
stephendedoming1 stephendedoming1
  • 15-03-2022
  • Mathematics
contestada

math help :c
(6ab)^3 (5a^-3)^2
simplifying an expression with products.

Respuesta :

devishri1977
devishri1977 devishri1977
  • 15-03-2022

Answer:

Step-by-step explanation:

[tex](a^{m})^{n}=a^{m*n}\\\\\\a^{m}*a^{n}=a^{m+n}[/tex]

[tex](6ab)^{3}*(5a^{-3})^{2} = 6^{3}*a^{3}*b^{3}*5^{2}*(a^{-3})^{2}\\\\[/tex]

                         [tex]= 6^{3}*5^{2}*a^{3}*b^{3}*a^{-3*2}\\\\=216*25*a^{3}*b^{3}*a^{-6}\\\\\\=5400a^{3+(-6)}*b^{3}\\\\\\=5400a^{-3}b^{3}[/tex]

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