gimigrgr73
gimigrgr73 gimigrgr73
  • 19-07-2021
  • Mathematics
contestada

simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2​

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 19-07-2021

Answer:

[tex] \dfrac{225}{64} [/tex]

Step-by-step explanation:

[tex] (4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} = [/tex]

[tex]= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}[/tex]

[tex]= 2^{-12} \times 2^{12} \times \dfrac{225}{64}[/tex]

[tex] = \dfrac{225}{64} [/tex]

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