murielhonimae26
murielhonimae26 murielhonimae26
  • 09-07-2021
  • Mathematics
contestada

When simplified (32/3125)^(2/5) is the same as 4/25 true or false?​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-07-2021

9514 1404 393

Answer:

  True

Step-by-step explanation:

Your calculator can tell you this is true. Or, you can simplify the given expression:

  [tex]\left(\dfrac{32}{3125}\right)^{2/5}=\left(\dfrac{2^5}{5^5}\right)^{2/5}=\dfrac{2^2}{5^2}=\boxed{\dfrac{4}{25}}[/tex]

__

The applicable rule of exponents is (a^b)^c = a^(bc).

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