Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.6" was replaced by "(76/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   76
  (—— • (102)) • (2 • (28•58))
   10

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Equation at the end of step  2  :

   76
  (—— • (102)) • (29•58)
   10

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

   76
  (—— • (22•52)) • (29•58)
   10

Step  4  :

            38
 Simplify   ——
            5 

Equation at the end of step  4  :

   38
  (—— • (22•52)) • (29•58)
   5 

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Dividing exponents :

 5.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  5  :

  760 • (29•58)

Step  6  :

Multiplying exponents :

 6.1    2³  multiplied by  2⁹   = 2^{(3 + 9)} = 2¹²

Multiplying exponents :

 6.2    5¹  multiplied by  5⁸   = 5^{(1 + 8)} = 5⁹

Final result :

  (212•59•19)