Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

(2): "2." was replaced by "(2/1)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

   11            2
  (——•(100))•(0-(—•((2)(-6)•(5)(-6))))
   10            1

Step  2  :

            2
 Simplify   —
            1

Equation at the end of step  2  :

   11
  (——•(100))•(0-(2•((2)(-6)•(5)(-6))))
   10

Step  3  :

Raising to power zero :

 3.1    2¹   divided by   2⁶   = 2^{(1 - 6)} = 2^(-5) = ¹/_2⁵

Equation at the end of step  3  :

   11                     1   
  (—— • (100)) • (0 -  ———————)
   10                  (25•56)
 Step  4  :
            11
 Simplify   ——
            10

Equation at the end of step  4  :

   11           -1  
  (—— • 1) • ———————
   10        (25•56)

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Multiplying exponents :

 5.2    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Final result :

    -11                                     
  ——————— = -2.20000 • 10-6 
  (26•57)