Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.3" was replaced by "(53/10)". 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  :

   98         53
  (——•(104))•(——•(22•52))
   10         10

Step  2  :

            53
 Simplify   ——
            10

Equation at the end of step  2  :

   98             53
  (—— • (104)) • (—— • (22•52))
   10             10

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Raising to a Power :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

   98
  (—— • (104)) • 530
   10

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

   98
  (—— • (24•54)) • 530
   10

Step  5  :

            49
 Simplify   ——
            5 

Equation at the end of step  5  :

   49
  (—— • (24•54)) • 530
   5 

Step  6  :

Dividing exponents :

 6.1    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  6  :

  (72•24•53) • 530

Step  7  :

Multiplying exponents :

 7.1    2⁴  multiplied by  2¹   = 2^{(4 + 1)} = 2⁵

Multiplying exponents :

 7.2    5³  multiplied by  5¹   = 5^{(3 + 1)} = 5⁴

Final result :

  (72•25•54•53)