Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.7" was replaced by "(67/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

   67
  (—— • (102)) • (24•54)
   10

Step  2  :

 2.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  2  :

   67
  (—— • (22•52)) • (24•54)
   10

Step  3  :

            67
 Simplify   ——
            10

Equation at the end of step  3  :

   67
  (—— • (22•52)) • (24•54)
   10

Step  4  :

Dividing exponents :

 4.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Dividing exponents :

 4.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  4  :

  670 • (24•54)

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Multiplying exponents :

 5.2    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Final result :

  (25•55•67)