Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.05" was replaced by "(105/100)".

Step  1  :

            21
 Simplify   ——
            20

Equation at the end of step  1  :

          21
  3000 • (——)4)
          20

Step  2  :

 2.1     21 = 3•7

(21)⁴ = (3•7)⁴ = 3⁴ • 7⁴  2.2     20 = 2²•5 (20)⁴ = (2²•5)⁴ = 2⁸ • 5⁴

Equation at the end of step  2  :

         (34•74)
  3000 • ———————
         (28•54)

Step  3  :

Multiplying exponents :

 3.1    3¹  multiplied by  3⁴   = 3^{(1 + 4)} = 3⁵

Dividing exponents :

 3.2    2³   divided by   2⁸   = 2^{(3 - 8)} = 2^(-5) = ¹/_2⁵

Dividing exponents :

 3.3    5³   divided by   5⁴   = 5^{(3 - 4)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  (35•74)              
  ——————— = 3646.51875 
    160