About Us

Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

More about us

Keep Connect with Us

  • =

Login to Your Account

What is solution of (-1)^n (n is for all integer)...?

____________________________________

Explanation

Let us see the solution of -1 base to power 2 and 3.

We know that 
        2
    (-1)  = 1
And 
        3
    (-1)  = -1

therefore -1 to any EVEN power answer will 1 and -1 to any ODD power answer will -1. By putting this rule to all integers. We get ...

                                   _
        n                           |
    (-1) = 1      if n is EVEN      |
       n                             >
    (-1) = -1     if n is ODD       |  
                                   _|

Final answer will be 1 when n is EVEN and -1 when n is ODD.

____________________________________

  • 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) ?
  • EXPONENT RELATED more QUESTIONS

  • Why some mathematician use x^n?
  • What is negative exponent?
  • What is relation between positive and negative exponent?
  • What is relation between x^-n and 1-x^n?


  • What is solution of (-1)^n?
  • What is solution of (-1)^-n?
  • What is solution of (-x)^n?
  • What is solution of (-x)^-n?


  • Why anything raise to power zero-is equal to 1?


  • What is solution of zero to a negative power?
  • Why one divided by zero is undefined?


  • Solve -5^2 =...? (25, -25, Anyother)
  • Solve -0.1^0 =...?
  • Solve -0.01^0 =...?
  • Solve -1^2 + (-1)^2 =...? (0, 1, 2, -2)


  • Solve 0^-3 =...? (0, 1, Undefined, Anyother)
  • The statement (1/0)^5 = 1/0^5 is ... true or false?
  • The statement 0^2 = 0^-2 ... is true or false?
  • Solve -3^-3 =...? (27, -27, 1/27, -1/27)
  • 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    
    
        
  • Solve 4 - 2 ÷ (1/2) + 3 =...?
  • What is solution of 0.5 x =...?