Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

                 15
  ((3 • (103)) • ——) • (28•58)
                 10

Step  2  :

            3
 Simplify   —
            2

Equation at the end of step  2  :

                 3
  ((3 • (103)) • —) • (28•58)
                 2

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

                   3
  ((3 • (23•53)) • —) • (28•58)
                   2

Step  4  :

Equation at the end of step  4  :

               3
  ((3•23•53) • —) • (28•58)
               2

Step  5  :

Multiplying exponents :

 5.1    3¹  multiplied by  3¹   = 3^{(1 + 1)} = 3²

Dividing exponents :

 5.2    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Equation at the end of step  5  :

  4500 • (28•58)

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Multiplying exponents :

 6.2    5³  multiplied by  5⁸   = 5^{(3 + 8)} = 5¹¹

Final result :

  (210•32•511)