Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.4" was replaced by "(34/10)". 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  :

   71         34
  (——•(104))-(——•(22•52))
   10         10

Step  2  :

            17
 Simplify   ——
            5 

Equation at the end of step  2  :

   71              17
  (—— • (104)) -  (—— • (22•52))
   10              5 

Step  3  :

Raising to a Power :

 3.1    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

   71              
  (—— • (104)) -  340
   10              

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

   71                 
  (—— • (24•54)) -  340
   10                 

Step  5  :

            71
 Simplify   ——
            10

Equation at the end of step  5  :

   71                 
  (—— • (24•54)) -  340
   10                 

Step  6  :

Dividing exponents :

 6.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 6.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  6  :

  (71•23•53) -  340

Step  7  :

Final result :

  71 - 340