Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.5" was replaced by "(65/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   65              
  (—— • (103)) -  (5 • (22•52))
   10              

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Equation at the end of step  2  :

   65              
  (—— • (103)) -  (53•22)
   10              

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

   65                 
  (—— • (23•53)) -  (53•22)
   10                 

Step  4  :

            13
 Simplify   ——
            2 

Equation at the end of step  4  :

   13                 
  (—— • (23•53)) -  (53•22)
   2                  

Step  5  :

Dividing exponents :

 5.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Equation at the end of step  5  :

  6500 -  (53•22)

Step  6  :

Final result :

  6000