Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.934" was replaced by "(3934/1000)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   62         3934
  (——•(102))+(————•(23•53))
   10         1000

Step  2  :

            1967
 Simplify   ————
            500 

Equation at the end of step  2  :

   62              1967
  (—— • (102)) +  (———— • (23•53))
   10              500 

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Raising to a Power :

 3.2      Canceling out  5³ as it appears on both sides of the fraction line

Equation at the end of step  3  :

   62              
  (—— • (102)) +  3934
   10              

Step  4  :

 4.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

   62                 
  (—— • (22•52)) +  3934
   10                 

Step  5  :

            31
 Simplify   ——
            5 

Equation at the end of step  5  :

   31                 
  (—— • (22•52)) +  3934
   5                  

Step  6  :

Dividing exponents :

 6.1    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  6  :

  620 +  3934

Step  7  :

Final result :

  4554