alfieg59 alfieg59
  • 20-04-2024
  • Mathematics
contestada

Find the value of
(25/9)^-3/2
Give your answer as fraction in its simplest form.

Respuesta :

olumideolawoyin
olumideolawoyin olumideolawoyin
  • 20-04-2024

Answer:

[tex]\frac{27}{125} [/tex]

Step-by-step explanation:

[tex] {( \frac{25}{9}) }^{ \frac{ -3 }{2} } = { {( \frac{5}{3}) }^{2} }^{ \times - \frac{3}{2} } = {( \frac{5}{3} )}^{ - 3} [/tex]

[tex] = \frac{1}{ {( \frac{5}{3}) }^{3} } = \frac{1}{ \frac{125}{27} } = \frac{27}{125} [/tex]

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