Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

(2): "7.5" was replaced by "(75/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  1  :

        75
  0 -  (—— • ((2)(-3)•(5)(-3)))
        10

Step  2  :

            15
 Simplify   ——
            2 

Equation at the end of step  2  :

        15
  0 -  (—— • ((2)(-3)•(5)(-3)))
        2 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Dividing exponents :

 3.2    5¹   divided by   5³   = 5^{(1 - 3)} = 5^(-2) = ¹/_5²

Equation at the end of step  3  :

        3 
  0 -  ———
       400

Step  4  :

Final result :

   -3            
  ——— = -0.00750 
  400