pdelisle pdelisle
  • 28-01-2024
  • Mathematics
contestada

evaluate -8^-2 divided by 3^-4

Respuesta :

bleiholderalexander bleiholderalexander
  • 28-01-2024

Answer:

[tex]\frac{1}{48}[/tex]

Step-by-step explanation:

we have [tex]\frac{(-8)^{-2}}{\frac{3}{4}}=\frac{1}{(-8)^{2}}\cdot\frac{4}{3}=\frac{1}{64}\cdot\frac{4}{3}=\frac{4}{64\cdot 3}=\frac{1}{16\cdot 3}=\frac{1}{48}[/tex]

Remember: [tex]a^{-b}=\frac{1}{a^{b}}[/tex] and

When dividing with a fraction, multiply by the reciprocal value

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