Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "3.5" was replaced by "(35/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   35
  (—— • (104)) • (5 • ((2)(-6)•(5)(-6)))
   10

Step  2  :

Raising to a Power :

 2.1    5¹   divided by   5⁶   = 5^{(1 - 6)} = 5^(-5) = ¹/_5⁵

Equation at the end of step  2  :

   35               1   
  (—— • (104)) • ———————
   10            (26•55)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

   35                 1   
  (—— • (24•54)) • ———————
   10              (26•55)

Step  4  :

            7
 Simplify   —
            2

Equation at the end of step  4  :

   7                 1   
  (— • (24•54)) • ———————
   2              (26•55)

Step  5  :

Dividing exponents :

 5.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Equation at the end of step  5  :

                 1   
  (7•23•54) • ———————
              (26•55)

Step  6  :

Dividing exponents :

 6.1    2³   divided by   2⁶   = 2^{(3 - 6)} = 2^(-3) = ¹/_2³

Dividing exponents :

 6.2    5⁴   divided by   5⁵   = 5^{(4 - 5)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

   7           
  —— = 0.17500 
  40