Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 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  :

   27         35
  (——•(104))•(——•(23•53))
   10         10

Step  2  :

            7
 Simplify   —
            2

Equation at the end of step  2  :

   27             7
  (—— • (104)) • (— • (23•53))
   10             2

Step  3  :

Raising to a Power :

 3.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Equation at the end of step  3  :

   27
  (—— • (104)) • 3500
   10

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

   27
  (—— • (24•54)) • 3500
   10

Step  5  :

            27
 Simplify   ——
            10

Equation at the end of step  5  :

   27
  (—— • (24•54)) • 3500
   10

Step  6  :

Dividing exponents :

 6.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 6.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  6  :

  (33•23•53) • 3500

Step  7  :

Multiplying exponents :

 7.1    2³  multiplied by  2²   = 2^{(3 + 2)} = 2⁵

Multiplying exponents :

 7.2    5³  multiplied by  5³   = 5^{(3 + 3)} = 5⁶

Final result :

  (33•25•56•7)