Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.8" was replaced by "(88/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

       88
  8 • (—— • (212•512))
       10

Step  2  :

            44
 Simplify   ——
            5 

Equation at the end of step  2  :

       44
  8 • (—— • (212•512))
       5 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹²   = 2^{(2 + 12)} = 2¹⁴

Dividing exponents :

 3.2    5¹²   divided by   5¹   = 5^{(12 - 1)} = 5¹¹

Equation at the end of step  3  :

  8 • (214•11•511)

Step  4  :

Multiplying exponents :

 4.1    2³  multiplied by  2¹⁴   = 2^{(3 + 14)} = 2¹⁷

Final result :

  (217•11•511)