Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

                 12
  (6 • (108)) • (—— • (27•57))
                 10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

                 6
  (6 • (108)) • (— • (27•57))
                 5

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁷   = 2^{(1 + 7)} = 2⁸

Raising to a Power :

 3.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  3  :

  (6 • (108)) • (28•3•56)

Step  4  :

 4.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  4  :

  (6 • (28•58)) • (28•3•56)

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Equation at the end of step  5  :

  (29•3•58) • (28•3•56)

Step  6  :

Multiplying exponents :

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

Multiplying exponents :

 6.2    3¹  multiplied by  3¹   = 3^{(1 + 1)} = 3²

Multiplying exponents :

 6.3    5⁸  multiplied by  5⁶   = 5^{(8 + 6)} = 5¹⁴

Final result :

  (217•32•514)