If a = 3 and b = -2, then find the value of a^a + b^b. Please answer with steps.​

2 thoughts on “If a = 3 and b = -2, then find the value of a^a + b^b. Please answer with steps.​”

1. Answer:

   109/4

   Step-by-step explanation:

   To calculate a^a + b^b first place the values of a and b

   ATP,

   [tex]a^{a\\}[/tex] + [tex]b^{b}[/tex]

   = [tex]3^{3}[/tex] + [tex](-2)^{-2}[/tex]

   = 27 + [tex]\frac{1}{(-2)^2}[/tex] ([tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex])

   = 27 + [tex]\frac{1}{2^2}[/tex] (Since [tex](-2)^{2}[/tex] = [tex]2^{2}[/tex])

   = 27 + [tex]\frac{1}{4}[/tex]

   = 109/4

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2. Step-by-step explanation:

   a^a +b^b = 3³+(-2)^-2

   = 27+ 1/(-2)²

   =27+1/4

   take LCM

   =(108+1)/4 = 109/4

   Reply