[ (-2)^-2 + (-3)^-1 ]^-1 =...?

________________________________

Answer

-12

Explanation

                      -1   
     _              _           
    |   -2        -1 |
    |(-2)    + (-3)  |
    |_              _|

Solve the outer exponent first. We know that a^-1 = 1/a

            1
    = -------------
         -2      -1 
      (-2)  + (-3)  
    
            1
    = ---------------
        1        1 
      ----  -  -----
         2      
      (-2)       3  

            1
    = ---------------
        1        1 
      ----  -  -----
        4        3 
             
           1
    = ------------
        3  -  4
       ---------
          12        

          1
    = ---------
         -1
       ------
         12      
      
             12
    = 1 × - ---
             1

    = -12

________________________________

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EXPONENT RELATED more QUESTIONS

Why some mathematician use x^n?

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Solve 9^9 + 9^9 + 9^9=...?

Solve [ (-2)^-2 + (-3)^-1 ]^-1 =...?

Solve

         1/3      -2/3      
       2n   -   2n  
      -------------- = ?
             -2/3 
           2n  
        

Solve

             _____________________
            /      _____________  
           /     /        ____
          /     /        /  2  
         /  4  /  4  .  / 4  
        /    \/       \/
       /  --------------------
      /            3
    \/            2    

    

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Divisible by 2 Shortcut trick

Divisible by 3 Shortcut trick

Divisible by 4 Shortcut trick

Divisible by 5 Shortcut trick

Divisible by 6 Shortcut trick

Divisible by 7 Shortcut trick

Divisible by 8 Shortcut trick

Divisible by 9 Shortcut trick

Divisible by 10 Shortcut trick

SHORTCUT TRICKS (Prime Number)

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Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?

Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?

SHORTCUT TRICKS (Prime Number)

Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?

Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?

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Worksheets (Solved)

Matrix Logarithm

Trigonometric Identities

Application of Trigonometry

Integration