Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   94         32
  (——•(106))•(——•(25•55))
   10         10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

   94             16
  (—— • (106)) • (—— • (25•55))
   10             5 

Step  3  :

Multiplying exponents :

 3.1    2⁴  multiplied by  2⁵   = 2^{(4 + 5)} = 2⁹

Raising to a Power :

 3.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  3  :

   94
  (—— • (106)) • (29•54)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   94
  (—— • (26•56)) • (29•54)
   10

Step  5  :

            47
 Simplify   ——
            5 

Equation at the end of step  5  :

   47
  (—— • (26•56)) • (29•54)
   5 

Step  6  :

Dividing exponents :

 6.1    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  6  :

  (47•26•55) • (29•54)

Step  7  :

Multiplying exponents :

 7.1    2⁶  multiplied by  2⁹   = 2^{(6 + 9)} = 2¹⁵

Multiplying exponents :

 7.2    5⁵  multiplied by  5⁴   = 5^{(5 + 4)} = 5⁹

Final result :

  (47•215•59)