Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.5" was replaced by "(75/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  75
  —— • (23•53)
  10

Step  2  :

            15
 Simplify   ——
            2 

Equation at the end of step  2  :

  15
  —— • (23•53)
  2 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

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

Final result :

  7500