Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.46" was replaced by "(946/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

                 946
  (5 • (104)) • (——— • (212•512))
                 100

Step  2  :

            473
 Simplify   ———
            50 

Equation at the end of step  2  :

                 473
  (5 • (104)) • (——— • (212•512))
                 50 

Step  3  :

Dividing exponents :

 3.1    2¹²   divided by   2¹   = 2^{(12 - 1)} = 2¹¹

Raising to a Power :

 3.2    5¹²   divided by   5²   = 5^{(12 - 2)} = 5¹⁰

Equation at the end of step  3  :

  (5 • (104)) • (11•43•211•510)

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

  (5 • (24•54)) • (11•43•211•510)

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Equation at the end of step  5  :

  (55•24) • (11•43•211•510)

Step  6  :

Multiplying exponents :

 6.1    5⁵  multiplied by  5¹⁰   = 5^{(5 + 10)} = 5¹⁵

Multiplying exponents :

 6.2    2⁴  multiplied by  2¹¹   = 2^{(4 + 11)} = 2¹⁵

Final result :

  (515•215•11•43)