20100025120059 20100025120059
  • 08-07-2021
  • Mathematics
contestada

if 2^a =0.5 and 5^b=125, what is the value of a^b +b^a?​

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sqdancefan
sqdancefan sqdancefan
  • 13-07-2021

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

  2^a = 0.5 = 2^-1   ⇒   a = -1

  5^b = 125 = 5^3   ⇒   b = 3

Then the expression a^b  +b^a is ...

  a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3

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