Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "*-6" was replaced by "*(-6)".

Step  1  :

            54
 Simplify   ——
            25

Equation at the end of step  1  :

                54
  (9 • (109)) • ——
                25

Step  2  :

 2.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  2  :

                  54
  (9 • (29•59)) • ——
                  25

Step  3  :

Equation at the end of step  3  :

               54
  (32•29•59) • ——
               25

Step  4  :

Multiplying exponents :

 4.1    3²  multiplied by  3³   = 3^{(2 + 3)} = 3⁵

Multiplying exponents :

 4.2    2⁹  multiplied by  2¹   = 2^{(9 + 1)} = 2¹⁰

Dividing exponents :

 4.3    5⁹   divided by   5²   = 5^{(9 - 2)} = 5⁷

Final result :

  (35•210•57)