Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

(2): "2.2" was replaced by "(22/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

   22
  (—— • (106)) ÷ (2 • ((2)(-4)•(5)(-4)))
   10

Step  2  :

Raising to a Power :

 2.1    2¹   divided by   2⁴   = 2^{(1 - 4)} = 2^(-3) = ¹/_2³

Equation at the end of step  2  :

   22              1 
  (—— • (106)) ÷ ————
   10            5000

Step  3  :

 3.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  3  :

   22                1 
  (—— • (26•56)) ÷ ————
   10              5000

Step  4  :

            11
 Simplify   ——
            5 

Equation at the end of step  4  :

  11                1 
  —— • (26•56)) ÷ ————
  5               5000

Step  5  :

Dividing exponents :

 5.1    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  5  :

  5)1 
  ————
  5000

Step  6  :

                           1 
 Divide  (11•26•55)  by  ————
                         5000

Multiplying exponents :

 6.1    2⁶  multiplied by  2³   = 2^{(6 + 3)} = 2⁹

Multiplying exponents :

 6.2    5⁵  multiplied by  5⁴   = 5^{(5 + 4)} = 5⁹

Final result :

  (11•29•59)