Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.3" was replaced by "(23/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   23
  (—— • (104)) • (23•53)
   10

Step  2  :

 2.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  2  :

   23
  (—— • (24•54)) • (23•53)
   10

Step  3  :

            23
 Simplify   ——
            10

Equation at the end of step  3  :

   23
  (—— • (24•54)) • (23•53)
   10

Step  4  :

Dividing exponents :

 4.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 4.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  4  :

  (23•23•53) • (23•53)

Step  5  :

Multiplying exponents :

 5.1    2³  multiplied by  2³   = 2^{(3 + 3)} = 2⁶

Multiplying exponents :

 5.2    5³  multiplied by  5³   = 5^{(3 + 3)} = 5⁶

Final result :

  (23•26•56)