Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.6" was replaced by "(76/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁵⁰ = (2•5)⁵⁰ = 2⁵⁰ • 5⁵⁰

Equation at the end of step  1  :

   75         76
  (——•(107))•(——•(250•550))
   10         10

Step  2  :

            38
 Simplify   ——
            5 

Equation at the end of step  2  :

   75             38
  (—— • (107)) • (—— • (250•550))
   10             5 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁵⁰   = 2^{(1 + 50)} = 2⁵¹

Raising to a Power :

 3.2    5⁵⁰   divided by   5¹   = 5^{(50 - 1)} = 5⁴⁹

Equation at the end of step  3  :

   75
  (—— • (107)) • (251•19•549)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   75
  (—— • (27•57)) • (251•19•549)
   10

Step  5  :

            15
 Simplify   ——
            2 

Equation at the end of step  5  :

   15
  (—— • (27•57)) • (251•19•549)
   2 

Step  6  :

Multiplying exponents :

 6.1    5¹  multiplied by  5⁷   = 5^{(1 + 7)} = 5⁸

Dividing exponents :

 6.2    2⁷   divided by   2¹   = 2^{(7 - 1)} = 2⁶

Equation at the end of step  6  :

  (3•58•26) • (251•19•549)

Step  7  :

Multiplying exponents :

 7.1    5⁸  multiplied by  5⁴⁹   = 5^{(8 + 49)} = 5⁵⁷

Multiplying exponents :

 7.2    2⁶  multiplied by  2⁵¹   = 2^{(6 + 51)} = 2⁵⁷

Final result :

  (3•557•257•19)