Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  6
  — • (25•55)
  5

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

  6
  — • (25•55)
  5

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Dividing exponents :

 3.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Final result :

  (26•3•54)