Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

    25
  ((—— • (107)) • 3) • (22•52)
    10

Step  2  :

 2.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  2  :

    25
  ((—— • (27•57)) • 3) • (22•52)
    10

Step  3  :

            5
 Simplify   —
            2

Equation at the end of step  3  :

    5
  ((— • (27•57)) • 3) • (22•52)
    2

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁷   = 5^{(1 + 7)} = 5⁸

Dividing exponents :

 4.2    2⁷   divided by   2¹   = 2^{(7 - 1)} = 2⁶

Equation at the end of step  4  :

  ((58•26) • 3) • (22•52)

Step  5  :

Equation at the end of step  5  :

  (58•26•3) • (22•52)

Step  6  :

Multiplying exponents :

 6.1    5⁸  multiplied by  5²   = 5^{(8 + 2)} = 5¹⁰

Multiplying exponents :

 6.2    2⁶  multiplied by  2²   = 2^{(6 + 2)} = 2⁸

Final result :

  (510•28•3)