Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   25
  (—— • (104)) • (4 • (23•53))
   10

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Equation at the end of step  2  :

   25
  (—— • (104)) • (25•53)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

   25
  (—— • (24•54)) • (25•53)
   10

Step  4  :

            5
 Simplify   —
            2

Equation at the end of step  4  :

   5
  (— • (24•54)) • (25•53)
   2

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Dividing exponents :

 5.2    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Equation at the end of step  5  :

  (55•23) • (25•53)

Step  6  :

Multiplying exponents :

 6.1    5⁵  multiplied by  5³   = 5^{(5 + 3)} = 5⁸

Multiplying exponents :

 6.2    2³  multiplied by  2⁵   = 2^{(3 + 5)} = 2⁸

Final result :

  (58•28)