Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.625" was replaced by "(5625/1000)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  5625
  ———— • (24•54)
  1000

Step  2  :

            45
 Simplify   ——
            8 

Equation at the end of step  2  :

  45
  —— • (24•54)
  8 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Dividing exponents :

 3.2    2⁴   divided by   2³   = 2^{(4 - 3)} = 2¹ = 2

Final result :

  (32•55•2)