Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "2.5" was replaced by "(25/10)". 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  :

   275          25
  (———•(10-2))•(——•(28•58))
   100          10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

   275              5
  (——— • (10-2)) • (— • (28•58))
   100              2

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁸   = 5^{(1 + 8)} = 5⁹

Raising to a Power :

 3.2    2⁸   divided by   2¹   = 2^{(8 - 1)} = 2⁷

Equation at the end of step  3  :

   275
  (——— • (10-2)) • (59•27)
   100

Step  4  :

 4.1     10 = 2•5

(10)^-2 = (2•5)^(-2) = (2)^(-2) • (5)^(-2)

Equation at the end of step  4  :

   275
  (——— • ((2)(-2)•(5)(-2))) • (59•27)
   100

Step  5  :

            11
 Simplify   ——
            4 

Equation at the end of step  5  :

   11
  (—— • ((2)(-2)•(5)(-2))) • (59•27)
   4 

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Equation at the end of step  6  :

   11
  ——— • (59•27)
  400

Step  7  :

Dividing exponents :

 7.1    5⁹   divided by   5²   = 5^{(9 - 2)} = 5⁷

Dividing exponents :

 7.2    2⁷   divided by   2⁴   = 2^{(7 - 4)} = 2³

Final result :

  (11•57•23)