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  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   345         75
  (———•(103))+(——•(23•53))
   100         10

Step  2  :

            15
 Simplify   ——
            2 

Equation at the end of step  2  :

   345              15
  (——— • (103)) +  (—— • (23•53))
   100              2 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Raising to a Power :

 3.2    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Equation at the end of step  3  :

   345              
  (——— • (103)) +  7500
   100              

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   345                 
  (——— • (23•53)) +  7500
   100                 

Step  5  :

            69
 Simplify   ——
            20

Equation at the end of step  5  :

   69                 
  (—— • (23•53)) +  7500
   20                 

Step  6  :

Dividing exponents :

 6.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Dividing exponents :

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

Equation at the end of step  6  :

  3450 +  7500

Step  7  :

Final result :

  10950