Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.08" was replaced by "(108/100)".

Step  1  :

            27
 Simplify   ——
            25

Equation at the end of step  1  :

         27
  210 • (——)5)
         25

Step  2  :

 2.1     27 = 33

(27)⁵ = (3³)⁵ = 3¹⁵  2.2     25 = 5² (25)⁵ = (5²)⁵ = 5¹⁰

Equation at the end of step  2  :

        315
  210 • ———
        510

Step  3  :

Multiplying exponents :

 3.1    3¹  multiplied by  3¹⁵   = 3^{(1 + 15)} = 3¹⁶

Dividing exponents :

 3.2    5¹   divided by   5¹⁰   = 5^{(1 - 10)} = 5^(-9) = ¹/_5⁹

Final result :

  (2•316•7)             
  ————————— = 308.55890 
     59