Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   11         32
  (——•(102))•(——•(28•58))
   10         10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

   11             16
  (—— • (102)) • (—— • (28•58))
   10             5 

Step  3  :

Multiplying exponents :

 3.1    2⁴  multiplied by  2⁸   = 2^{(4 + 8)} = 2¹²

Raising to a Power :

 3.2    5⁸   divided by   5¹   = 5^{(8 - 1)} = 5⁷

Equation at the end of step  3  :

   11
  (—— • (102)) • (212•57)
   10

Step  4  :

 4.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

   11
  (—— • (22•52)) • (212•57)
   10

Step  5  :

            11
 Simplify   ——
            10

Equation at the end of step  5  :

   11
  (—— • (22•52)) • (212•57)
   10

Step  6  :

Dividing exponents :

 6.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Dividing exponents :

 6.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  6  :

  110 • (212•57)

Step  7  :

Multiplying exponents :

 7.1    2¹  multiplied by  2¹²   = 2^{(1 + 12)} = 2¹³

Multiplying exponents :

 7.2    5¹  multiplied by  5⁷   = 5^{(1 + 7)} = 5⁸

Final result :

  (213•58•11)