Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.23" was replaced by "(423/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   49       423
  (——•(109))———•(28•58))
   10(      100

Step  2  :

            423
 Simplify   ———
            100

Equation at the end of step  2  :

   49             423
  (—— • (109)) ÷ (——— • (28•58))
   10             100

Step  3  :

Dividing exponents :

 3.1    2⁸   divided by   2²   = 2^{(8 - 2)} = 2⁶

Raising to a Power :

 3.2    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Equation at the end of step  3  :

   49
  (—— • (109)) ÷ (32•47•26•56)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  4  :

   49
  (—— • (29•59)) ÷ (32•47•26•56)
   10

Step  5  :

            49
 Simplify   ——
            10

Equation at the end of step  5  :

  49
  —— • (29•59)) ÷ (32•47•26•56)
  10

Step  6  :

Dividing exponents :

 6.1    2⁹   divided by   2¹   = 2^{(9 - 1)} = 2⁸

Dividing exponents :

 6.2    5⁹   divided by   5¹   = 5^{(9 - 1)} = 5⁸

Equation at the end of step  6  :

Step  7  :

              (72•28•58) 
 Simplify   —————————————
            (32•47•26•56)

Dividing exponents :

 7.1    2⁸   divided by   2⁶   = 2^{(8 - 6)} = 2²

Dividing exponents :

 7.2    5⁸   divided by   5⁶   = 5^{(8 - 6)} = 5²

Final result :

  4900            
  ———— = 11.58392 
  423