Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.13" was replaced by "(713/100)". 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  :

   325         713
  (———•(105))+(———•(22•52))
   100         100

Step  2  :

            713
 Simplify   ———
            100

Equation at the end of step  2  :

   325              713
  (——— • (105)) +  (——— • (22•52))
   100              100

Step  3  :

Canceling Out :

 3.1      Canceling out  2² as it appears on both sides of the fraction line

Raising to a Power :

 3.2      Canceling out  5² as it appears on both sides of the fraction line

Equation at the end of step  3  :

   325              
  (——— • (105)) +  713
   100              

Step  4  :

 4.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  4  :

   325                 
  (——— • (25•55)) +  713
   100                 

Step  5  :

            13
 Simplify   ——
            4 

Equation at the end of step  5  :

   13                 
  (—— • (25•55)) +  713
   4                  

Step  6  :

Dividing exponents :

 6.1    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Equation at the end of step  6  :

  (13•23•55) +  713

Step  7  :

Final result :

  13 + 713