Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.4" was replaced by "(24/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

   98         24
  (——•(103))•(——•(27•57))
   10         10

Step  2  :

            12
 Simplify   ——
            5 

Equation at the end of step  2  :

   98             12
  (—— • (103)) • (—— • (27•57))
   10             5 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁷   = 2^{(2 + 7)} = 2⁹

Raising to a Power :

 3.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  3  :

   98
  (—— • (103)) • (29•3•56)
   10

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   98
  (—— • (23•53)) • (29•3•56)
   10

Step  5  :

            49
 Simplify   ——
            5 

Equation at the end of step  5  :

   49
  (—— • (23•53)) • (29•3•56)
   5 

Step  6  :

Dividing exponents :

 6.1    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  6  :

  9800 • (29•3•56)

Step  7  :

Multiplying exponents :

 7.1    2³  multiplied by  2⁹   = 2^{(3 + 9)} = 2¹²

Multiplying exponents :

 7.2    5²  multiplied by  5⁶   = 5^{(2 + 6)} = 5⁸

Final result :

  (212•58•72•3)