Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.8" was replaced by "(38/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

                 38
  (2 • (105)) • (—— • (23•53))
                 10

Step  2  :

            19
 Simplify   ——
            5 

Equation at the end of step  2  :

                 19
  (2 • (105)) • (—— • (23•53))
                 5 

Step  3  :

Raising to a Power :

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

Equation at the end of step  3  :

  (2 • (105)) • 3800

Step  4  :

 4.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  4  :

  (2 • (25•55)) • 3800

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Equation at the end of step  5  :

  (26•55) • 3800

Step  6  :

Multiplying exponents :

 6.1    2⁶  multiplied by  2³   = 2^{(6 + 3)} = 2⁹

Multiplying exponents :

 6.2    5⁵  multiplied by  5²   = 5^{(5 + 2)} = 5⁷

Final result :

  (29•57•19)