Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.8" was replaced by "(28/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   28
  (—— • (1011)) ÷ (4 • (28•58))
   10

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Equation at the end of step  2  :

   28
  (—— • (1011)) ÷ (210•58)
   10

Step  3  :

 3.1     10 = 2•5

(10)¹¹ = (2•5)¹¹ = 2¹¹ • 5¹¹

Equation at the end of step  3  :

   28
  (—— • (211•511)) ÷ (210•58)
   10

Step  4  :

            14
 Simplify   ——
            5 

Equation at the end of step  4  :

  14
  —— • (211•511)) ÷ (210•58)
  5 

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2¹¹   = 2^{(1 + 11)} = 2¹²

Dividing exponents :

 5.2    5¹¹   divided by   5¹   = 5^{(11 - 1)} = 5¹⁰

Equation at the end of step  5  :

Step  6  :

            (212•7•510)
 Simplify   ———————————
             (210•58)  

Dividing exponents :

 6.1    2¹²   divided by   2¹⁰   = 2^{(12 - 10)} = 2²

Dividing exponents :

 6.2    5¹⁰   divided by   5⁸   = 5^{(10 - 8)} = 5²

Final result :

  700