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

Mathematics

1 answer:

kifflom [539]3 years ago

3 0

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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-----------------------------------------------

Work Shown:

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

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