Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.8" was replaced by "(38/10)". 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  :

      44          38
  (0-(——•(103)))-(——•(23•53))
      10          10

Step  2  :

            19
 Simplify   ——
            5 

Equation at the end of step  2  :

      44          19
  (0-(——•(103)))-(——•(23•53))
      10          5 

Step  3  :

Raising to a Power :

 3.1    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  3  :

         44               
  (0 -  (—— • (103))) -  3800
         10               

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

         44                  
  (0 -  (—— • (23•53))) -  3800
         10                  

Step  5  :

            22
 Simplify   ——
            5 

Equation at the end of step  5  :

         22                  
  (0 -  (—— • (23•53))) -  3800
         5                   

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Dividing exponents :

 6.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  6  :

  (0 -  4400) -  3800

Step  7  :

Final result :

  -8200