Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   12
  (—— • (108)) ÷ (4 • (23•53))
   10

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Equation at the end of step  2  :

   12
  (—— • (108)) ÷ (25•53)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

   12
  (—— • (28•58)) ÷ (25•53)
   10

Step  4  :

            6
 Simplify   —
            5

Equation at the end of step  4  :

  6
  — • (28•58)) ÷ (25•53)
  5

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Dividing exponents :

 5.2    5⁸   divided by   5¹   = 5^{(8 - 1)} = 5⁷

Equation at the end of step  5  :

Step  6  :

            (29•3•57)
 Simplify   —————————
             (25•53) 

Dividing exponents :

 6.1    2⁹   divided by   2⁵   = 2^{(9 - 5)} = 2⁴

Dividing exponents :

 6.2    5⁷   divided by   5³   = 5^{(7 - 3)} = 5⁴

Final result :

  (24•3•54)