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)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   12
  (—— • (109)) ÷ (3 • (22•52))
   10

Step  2  :

Equation at the end of step  2  :

   12
  (—— • (109)) ÷ (3•22•52)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  3  :

   12
  (—— • (29•59)) ÷ (3•22•52)
   10

Step  4  :

            6
 Simplify   —
            5

Equation at the end of step  4  :

  6
  — • (29•59)) ÷ (3•22•52)
  5

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁹   = 2^{(1 + 9)} = 2¹⁰

Dividing exponents :

 5.2    5⁹   divided by   5¹   = 5^{(9 - 1)} = 5⁸

Equation at the end of step  5  :

Step  6  :

            (210•3•58)
 Simplify   ——————————
            (3•22•52) 

Dividing exponents :

 6.1    2¹⁰   divided by   2²   = 2^{(10 - 2)} = 2⁸

Canceling Out :

 6.2      Canceling out  3  as it appears on both sides of the fraction line

Dividing exponents :

 6.3    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Final result :

  (28•56)