Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.336" was replaced by "(336/1000)". 2 more similar replacement(s)

Step  1  :

             42
 Simplify   ———
            125

Equation at the end of step  1  :

   25             42
  (—— • (106)) • ———
   10            125

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

   25               42
  (—— • (26•56)) • ———
   10              125

Step  3  :

            5
 Simplify   —
            2

Equation at the end of step  3  :

   5               42
  (— • (26•56)) • ———
   2              125

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Dividing exponents :

 4.2    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  4  :

             42
  (57•25) • ———
            125

Step  5  :

Multiplying exponents :

 5.1    2⁵  multiplied by  2¹   = 2^{(5 + 1)} = 2⁶

Dividing exponents :

 5.2    5⁷   divided by   5³   = 5^{(7 - 3)} = 5⁴

Final result :

  (54•26•3•7)