Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.2" was replaced by "(42/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   238       42
  (———•(107))——•(22•52))
   10 (      10

Step  2  :

            21
 Simplify   ——
            5 

Equation at the end of step  2  :

   238             21
  (——— • (107)) ÷ (—— • (22•52))
   10              5 

Step  3  :

Raising to a Power :

 3.1    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

   238
  (——— • (107)) ÷ 420
   10 

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   238
  (——— • (27•57)) ÷ 420
   10 

Step  5  :

            119
 Simplify   ———
             5 

Equation at the end of step  5  :

  119
  ——— • (27•57)) ÷ 420
   5 

Step  6  :

Dividing exponents :

 6.1    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  6  :

Step  7  :

            (7•17•27•56)
 Simplify   ————————————
                420     

Canceling Out :

 7.1      Canceling out  7  as it appears on both sides of the fraction line

Dividing exponents :

 7.2    2⁷   divided by   2²   = 2^{(7 - 2)} = 2⁵

Dividing exponents :

 7.3    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Final result :

  (17•25•55)                                 
  —————————— = 5.66667 • 105 
      3