Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (375 • (10-7)) • ((2)(-2)•(5)(-2))

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

  (375 • ((2)(-7)•(5)(-7))) • ((2)(-2)•(5)(-2))

Step  3  :

Dividing exponents :

 3.1    5³   divided by   5⁷   = 5^{(3 - 7)} = 5^(-4) = ¹/_5⁴

Equation at the end of step  3  :

     3   
  ——————— • ((2)(-2)•(5)(-2))
  (27•54)

Step  4  :

Multiplying exponents :

 4.1    2⁷  multiplied by  2²   = 2^{(7 + 2)} = 2⁹

Multiplying exponents :

 4.2    5⁴  multiplied by  5²   = 5^{(4 + 2)} = 5⁶

Final result :

     3                                     
  ——————— = 3.75000 • 10-7 
  (29•56)