Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.5" was replaced by "(75/10)". 2 more similar replacement(s)

Step  1  :

            15
 Simplify   ——
            2 

Equation at the end of step  1  :

   33             15
  (—— • (103)) ÷ (—— • 1)
   10             2 

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

   33              15
  (—— • (23•53)) ÷ ——
   10              2 

Step  3  :

            33
 Simplify   ——
            10

Equation at the end of step  3  :

  33              15
  —— • (23•53)) ÷ ——
  10              2 

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 4.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  4  :

  15
  ——
  2 

Step  5  :

                   15
 Divide  3300  by  ——
                   2 

Final result :

  440