Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.25" was replaced by "(325/100)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   325
  (——— • (105)) • (4 • (23•53))
   100

Step  2  :

Raising to a Power :

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

Equation at the end of step  2  :

   325
  (——— • (105)) • (25•53)
   100

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

   325
  (——— • (25•55)) • (25•53)
   100

Step  4  :

            13
 Simplify   ——
            4 

Equation at the end of step  4  :

   13
  (—— • (25•55)) • (25•53)
   4 

Step  5  :

Dividing exponents :

 5.1    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Equation at the end of step  5  :

  (13•23•55) • (25•53)

Step  6  :

Multiplying exponents :

 6.1    2³  multiplied by  2⁵   = 2^{(3 + 5)} = 2⁸

Multiplying exponents :

 6.2    5⁵  multiplied by  5³   = 5^{(5 + 3)} = 5⁸

Final result :

  (13•28•58)