Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)". 1 more similar replacement(s)

Step  1  :

 1.1     4 = 22

(4)^-4 = (2²)^(-4) = (2)^(-8)

Equation at the end of step  1  :

  (4 • (4-4)) • (2)(-8)

Step  2  :

 2.1     4 = 22

(4)^-4 = (2²)^(-4) = (2)^(-8)

Equation at the end of step  2  :

  (4 • (2)(-8)) • (2)(-8)

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁸   = 2^{(2 - 8)} = 2^(-6) = ¹/_2⁶

Equation at the end of step  3  :

   1
  —— • (2)(-8)
  64

Step  4  :

Multiplying exponents :

 4.1    2⁶  multiplied by  2⁸   = 2^{(6 + 8)} = 2¹⁴

Final result :

   1            
  ——— = 0.00006 
  214