Math, asked by suvarnaraju58, 1 month ago

pls answer this math question.ls pls i will mark as branliest.​

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Answers

Answered by Anonymous
49

Answer:

Given:

  • a = 3 , b = 2

Find:

  • { \sf{ {a}^{b} +  {b}^{a}  }}
  • { \sf{ {a}^{a}  +  {b}^{b} }}
  • { \sf{ {(a + b)}^{b} }}
  • { \sf{ {(a  - b)}^{b} }}

Solution:

1){ \large{ \sf{ {a}^{b} +  {b}^{a} :   }}}

 :   \:  \: \to{ {3}^{2}  +  {2}^{3} } \\  \\  :   \:  \: \to{9 + 8} \\  \\  :   \:  \: \to{17}

__________________________

2){ \large{ \sf{ {a}^{a} +  {b}^{b} :   }}}

 :   \:  \: \to{ {3}^{3} +  {2}^{2}  } \\  \\  :   \:  \: \to{27 + 4} \\  \\  :   \:  \: \to{31}

__________________________

3){ \large{ \sf{  {(a + b)}^{b}    :  }}}

 :  \:  \:  \to{ {(3 + 2)}^{2} } \\  \\ :  \:  \:  \to{ {(5)}^{2} }  \\  \\  :  \:  \:  \to{25}

_________________________

4){ \large{ \sf{  {(a  -  b)}^{b}    :  }}}

 :  \:  \:  \to{ {(3 - 2)}^{2} } \\  \\  :  \:  \:  \to{ {1}^{2} } \\  \\  :  \:  \:  \to{1}

__________________________

Therefore,

  • a^b + b^a = 17
  • a^a + b^b = 31
  • (a + b) ^b = 25
  • (a - b) ^b = 1

Answered by shreyachakrabarti
0

Answer:

Please mark me as a Brainliest

Step-by-step explanation:

(i) 3^2+2^3

=6+8

=14 (Ans)

(ii) 3^3+2^2

=12+4

=16(Ans)

(iii) ( 3+2)^2

=6^2

=18 (Ans)

(iv) (3-2)^2

=1^2

=2(Ans)

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