Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.4" was replaced by "(14/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   28       14
  (——•(103))——•(23•53))
   10(      10

Step  2  :

            7
 Simplify   —
            5

Equation at the end of step  2  :

   28             7
  (—— • (103)) ÷ (— • (23•53))
   10             5

Step  3  :

Raising to a Power :

 3.1    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  3  :

   28
  (—— • (103)) ÷ 1400
   10

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   28
  (—— • (23•53)) ÷ 1400
   10

Step  5  :

            14
 Simplify   ——
            5 

Equation at the end of step  5  :

  14
  —— • (23•53)) ÷ 1400
  5 

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Dividing exponents :

 6.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  6  :

Step  7  :

            2
 Simplify   —
            1

Final result :

  2