Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   75         35
  (——•(104))•(——•(29•59))
   10         10

Step  2  :

            7
 Simplify   —
            2

Equation at the end of step  2  :

   75             7
  (—— • (104)) • (— • (29•59))
   10             2

Step  3  :

Raising to a Power :

 3.1    2⁹   divided by   2¹   = 2^{(9 - 1)} = 2⁸

Equation at the end of step  3  :

   75
  (—— • (104)) • (7•28•59)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

   75
  (—— • (24•54)) • (7•28•59)
   10

Step  5  :

            15
 Simplify   ——
            2 

Equation at the end of step  5  :

   15
  (—— • (24•54)) • (7•28•59)
   2 

Step  6  :

Multiplying exponents :

 6.1    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Dividing exponents :

 6.2    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Equation at the end of step  6  :

  (3•55•23) • (7•28•59)

Step  7  :

Multiplying exponents :

 7.1    5⁵  multiplied by  5⁹   = 5^{(5 + 9)} = 5¹⁴

Multiplying exponents :

 7.2    2³  multiplied by  2⁸   = 2^{(3 + 8)} = 2¹¹

Final result :

  (3•514•211•7)