Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.1" was replaced by "(21/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

   451         21
  (———•(107))•(——•(26•56))
   100         10

Step  2  :

            21
 Simplify   ——
            10

Equation at the end of step  2  :

   451             21
  (——— • (107)) • (—— • (26•56))
   100             10

Step  3  :

Dividing exponents :

 3.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Raising to a Power :

 3.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  3  :

   451
  (——— • (107)) • (3•7•25•55)
   100

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   451
  (——— • (27•57)) • (3•7•25•55)
   100

Step  5  :

            451
 Simplify   ———
            100

Equation at the end of step  5  :

   451
  (——— • (27•57)) • (3•7•25•55)
   100

Step  6  :

Dividing exponents :

 6.1    2⁷   divided by   2²   = 2^{(7 - 2)} = 2⁵

Dividing exponents :

 6.2    5⁷   divided by   5²   = 5^{(7 - 2)} = 5⁵

Equation at the end of step  6  :

  (11•41•25•55) • (3•7•25•55)

Step  7  :

Multiplying exponents :

 7.1    2⁵  multiplied by  2⁵   = 2^{(5 + 5)} = 2¹⁰

Multiplying exponents :

 7.2    5⁵  multiplied by  5⁵   = 5^{(5 + 5)} = 5¹⁰

Final result :

  (11•41•210•510•3•7)