Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.1" was replaced by "(91/10)". 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  :

   2275 91
  (————•——)•(28•58)
   1000 10

Step  2  :

            91
 Simplify   ——
            10

Equation at the end of step  2  :

   2275   91
  (———— • ——) • (28•58)
   1000   10

Step  3  :

 3.1     10 = 2•5

(10)¹⁹ = (2•5)¹⁹ = 2¹⁹ • 5¹⁹

Equation at the end of step  3  :

   2275   91
  (———— • ——) • (28•58)
   1000   10

Step  4  :

                        91
 Divide  (219•519)  by  ——
                        10

Multiplying exponents :

 4.1    2¹⁹  multiplied by  2¹   = 2^{(19 + 1)} = 2²⁰

Multiplying exponents :

 4.2    5¹⁹  multiplied by  5¹   = 5^{(19 + 1)} = 5²⁰

Equation at the end of step  4  :

   2275   (220•520) 
  (———— • —————————) • (28•58)
   1000      91    

Step  5  :

            91
 Simplify   ——
            40

Equation at the end of step  5  :

   91   (220•520) 
  (—— • —————————) • (28•58)
   40      91    

Step  6  :

Dividing exponents :

 6.1    2²⁰   divided by   2³   = 2^{(20 - 3)} = 2¹⁷

Dividing exponents :

 6.2    5²⁰   divided by   5¹   = 5^{(20 - 1)} = 5¹⁹

Equation at the end of step  6  :

  (217•519) • (28•58)

Step  7  :

Final result :

  (28•58)