Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.8" was replaced by "(8/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   8
  —— • (22•52)
  10

Step  2  :

            4
 Simplify   —
            5

Equation at the end of step  2  :

  4
  — • (22•52)
  5

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Dividing exponents :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Final result :

  80