Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.4" was replaced by "(14/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

   14
  (—— • (102)) • (2 • (24•54))
   10

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Equation at the end of step  2  :

   14
  (—— • (102)) • (25•54)
   10

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

   14
  (—— • (22•52)) • (25•54)
   10

Step  4  :

            7
 Simplify   —
            5

Equation at the end of step  4  :

   7
  (— • (22•52)) • (25•54)
   5

Step  5  :

Dividing exponents :

 5.1    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  5  :

  140 • (25•54)

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Multiplying exponents :

 6.2    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Final result :

  (27•55•7)