Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4." was replaced by "(4/1)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   95         4
  (——•(106))•(—•(22•52))
   10         1

Step  2  :

            4
 Simplify   —
            1

Equation at the end of step  2  :

   95
  (—— • (106)) • (4 • (22•52))
   10

Step  3  :

Raising to a Power :

 3.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Equation at the end of step  3  :

   95
  (—— • (106)) • (24•52)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   95
  (—— • (26•56)) • (24•52)
   10

Step  5  :

            19
 Simplify   ——
            2 

Equation at the end of step  5  :

   19
  (—— • (26•56)) • (24•52)
   2 

Step  6  :

Dividing exponents :

 6.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  6  :

  (19•25•56) • (24•52)

Step  7  :

Multiplying exponents :

 7.1    2⁵  multiplied by  2⁴   = 2^{(5 + 4)} = 2⁹

Multiplying exponents :

 7.2    5⁶  multiplied by  5²   = 5^{(6 + 2)} = 5⁸

Final result :

  (19•29•58)