Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  1  :

  (5 • (10-7)) • (4 • ((2)(-1)•(5)(-1)))

Step  2  :

Raising to a Power :

 2.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Equation at the end of step  2  :

                 2
  (5 • (10-7)) • —
                 5

Step  3  :

 3.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  3  :

                            2
  (5 • ((2)(-7)•(5)(-7))) • —
                            5

Step  4  :

Dividing exponents :

 4.1    5¹   divided by   5⁷   = 5^{(1 - 7)} = 5^(-6) = ¹/_5⁶

Equation at the end of step  4  :

     1      2
  ——————— • —
  (27•56)   5

Step  5  :

Multiplying exponents :

 5.1    5⁶  multiplied by  5¹   = 5^{(6 + 1)} = 5⁷

Dividing exponents :

 5.2    2¹   divided by   2⁷   = 2^{(1 - 7)} = 2^(-6) = ¹/_2⁶

Final result :

     1                                     
  ——————— = 2.00000 • 10-7 
  (26•57)