Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "0.6" was replaced by "(6/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   6
  —— ÷ ((2)(-2)•(5)(-2))
  10

Step  2  :

            3
 Simplify   —
            5

Equation at the end of step  2  :

  3
  — ÷ ((2)(-2)•(5)(-2))
  5

Step  3  :

         3      
 Divide  —  by  ((2)(-2)•(5)(-2))
         5      

 3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

3        1          3     (22•52)
—  ÷  ———————   =   —  •  ———————
5     (22•52)       5        1   

Dividing exponents :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Final result :

  60