Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (4 • (10-8)) • (4 • ((2)(-8)•(5)(-8)))

Step  2  :

Raising to a Power :

 2.1    2²   divided by   2⁸   = 2^{(2 - 8)} = 2^(-6) = ¹/_2⁶

Equation at the end of step  2  :

                    1   
  (4 • (10-8)) • ———————
                 (26•58)

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

                               1   
  (4 • ((2)(-8)•(5)(-8))) • ———————
                            (26•58)

Step  4  :

Dividing exponents :

 4.1    2²   divided by   2⁸   = 2^{(2 - 8)} = 2^(-6) = ¹/_2⁶

Equation at the end of step  4  :

     1         1   
  ——————— • ———————
  (26•58)   (26•58)

Step  5  :

Multiplying exponents :

 5.1    2⁶  multiplied by  2⁶   = 2^{(6 + 6)} = 2¹²

Multiplying exponents :

 5.2    5⁸  multiplied by  5⁸   = 5^{(8 + 8)} = 5¹⁶

Final result :

      1                                       
  ————————— = 1.60000 • 10-15 
  (212•516)