Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.75" was replaced by "(175/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

   175
  (——— • (109)) • (6 • (2•5))
   100

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2¹   = 2^{(1 + 1)} = 2²

Equation at the end of step  2  :

   175
  (——— • (109)) • (22•3•5)
   100

Step  3  :

 3.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  3  :

   175
  (——— • (29•59)) • (22•3•5)
   100

Step  4  :

            7
 Simplify   —
            4

Equation at the end of step  4  :

   7
  (— • (29•59)) • (22•3•5)
   4

Step  5  :

Dividing exponents :

 5.1    2⁹   divided by   2²   = 2^{(9 - 2)} = 2⁷

Equation at the end of step  5  :

  (7•27•59) • (22•3•5)

Step  6  :

Multiplying exponents :

 6.1    2⁷  multiplied by  2²   = 2^{(7 + 2)} = 2⁹

Multiplying exponents :

 6.2    5⁹  multiplied by  5¹   = 5^{(9 + 1)} = 5¹⁰

Final result :

  (7•29•510•3)