Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "143." was replaced by "(143/1)". 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  :

   61       143
  (—— • (10^———)) • (28•58)
   10        1 

Step  2  :

            143
 Simplify   ———
             1 

Equation at the end of step  2  :

   61
  (—— • (10143)) • (28•58)
   10

Step  3  :

 3.1     10 = 2•5

(10)¹⁴³ = (2•5)¹⁴³ = 2¹⁴³ • 5¹⁴³

Equation at the end of step  3  :

   61
  (—— • (2143•5143)) • (28•58)
   10

Step  4  :

            61
 Simplify   ——
            10

Equation at the end of step  4  :

   61
  (—— • (2143•5143)) • (28•58)
   10

Step  5  :

Dividing exponents :

 5.1    2¹⁴³   divided by   2¹   = 2^{(143 - 1)} = 2¹⁴²

Dividing exponents :

 5.2    5¹⁴³   divided by   5¹   = 5^{(143 - 1)} = 5¹⁴²

Equation at the end of step  5  :

  (61•2142•5142) • (28•58)

Step  6  :

Multiplying exponents :

 6.1    2¹⁴²  multiplied by  2⁸   = 2^{(142 + 8)} = 2¹⁵⁰

Multiplying exponents :

 6.2    5¹⁴²  multiplied by  5⁸   = 5^{(142 + 8)} = 5¹⁵⁰

Final result :

  (61•2150•5150)