Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.4" was replaced by "(44/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

                 44
  (2 • (106)) • (—— • (24•54))
                 10

Step  2  :

            22
 Simplify   ——
            5 

Equation at the end of step  2  :

                 22
  (2 • (106)) • (—— • (24•54))
                 5 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Raising to a Power :

 3.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  3  :

  (2 • (106)) • (25•11•53)

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

  (2 • (26•56)) • (25•11•53)

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁶   = 2^{(1 + 6)} = 2⁷

Equation at the end of step  5  :

  (27•56) • (25•11•53)

Step  6  :

Multiplying exponents :

 6.1    2⁷  multiplied by  2⁵   = 2^{(7 + 5)} = 2¹²

Multiplying exponents :

 6.2    5⁶  multiplied by  5³   = 5^{(6 + 3)} = 5⁹

Final result :

  (212•59•11)