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)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (8 • (10-5)) • (8 • ((2)(-5)•(5)(-5)))

Step  2  :

Raising to a Power :

 2.1    2³   divided by   2⁵   = 2^{(3 - 5)} = 2^(-2) = ¹/_2²

Equation at the end of step  2  :

                    1   
  (8 • (10-5)) • ———————
                 (22•55)

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

                               1   
  (8 • ((2)(-5)•(5)(-5))) • ———————
                            (22•55)

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2⁵   = 2^{(3 - 5)} = 2^(-2) = ¹/_2²

Equation at the end of step  4  :

     1         1   
  ——————— • ———————
  (22•55)   (22•55)

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Multiplying exponents :

 5.2    5⁵  multiplied by  5⁵   = 5^{(5 + 5)} = 5¹⁰

Final result :

      1                                     
  ———————— = 6.40000 • 10-9 
  (24•510)