Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)". 1 more similar replacement(s)

(2): ".8" was replaced by "(8/10)". 2 more similar replacement(s)

Step  1  :

            4
 Simplify   —
            5

Equation at the end of step  1  :

   (8      4
  {——}-5)•(—3)
   10      5

Step  2  :

 2.1     4 = 22

(4)³ = (2²)³ = 2⁶

Equation at the end of step  2  :

   (8       26
  {——}-5) • ——
   10       53

Step  3  :

            4
 Simplify   —
            5

Equation at the end of step  3  :

            4        26
  ((8-1) • (—)-5)) • ——
            5        53

Step  4  :

 4.1     4 = 22

(4)^-5 = (2²)^(-5) = (2)^(-10)

Equation at the end of step  4  :

           (2)(-10)    26
  ((8-1) • ————————) • ——
           (5)(-5)     53

Step  5  :

 5.1     8 = 23

(8)^-1 = (2³)^(-1) = (2)^(-3)

Equation at the end of step  5  :

             (2)(-10)    26
  ((2)(-3) • ————————) • ——
             (5)(-5)     53
 Step  6  :

Dividing exponents :

 6.1    5⁵   divided by   5³   = 5^{(5 - 3)} = 5²

Dividing exponents :

 6.2    2⁶   divided by   2¹³   = 2^{(6 - 13)} = 2^(-7) = ¹/_2⁷

Final result :

   25           
  ——— = 0.19531 
  128