Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.1" was replaced by "(21/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

   21
  (—— • (109)) • (4 • (27•57))
   10

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁷   = 2^{(2 + 7)} = 2⁹

Equation at the end of step  2  :

   21
  (—— • (109)) • (29•57)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  3  :

   21
  (—— • (29•59)) • (29•57)
   10

Step  4  :

            21
 Simplify   ——
            10

Equation at the end of step  4  :

   21
  (—— • (29•59)) • (29•57)
   10

Step  5  :

Dividing exponents :

 5.1    2⁹   divided by   2¹   = 2^{(9 - 1)} = 2⁸

Dividing exponents :

 5.2    5⁹   divided by   5¹   = 5^{(9 - 1)} = 5⁸

Equation at the end of step  5  :

  (3•7•28•58) • (29•57)

Step  6  :

Multiplying exponents :

 6.1    2⁸  multiplied by  2⁹   = 2^{(8 + 9)} = 2¹⁷

Multiplying exponents :

 6.2    5⁸  multiplied by  5⁷   = 5^{(8 + 7)} = 5¹⁵

Final result :

  (3•7•217•515)