Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5¹   = 5^{(1 + 1)} = 5²

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

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   
  ——————— ÷ (52•2)
  (27•56)

Step  5  :

            1         
 Divide  ———————  by  (52•2)
         (27•56)      

Multiplying exponents :

 5.1    2⁷  multiplied by  2¹   = 2^{(7 + 1)} = 2⁸

Multiplying exponents :

 5.2    5⁶  multiplied by  5²   = 5^{(6 + 2)} = 5⁸

Final result :

     1                                      
  ——————— = 10.00000 • 10-9 
  (28•58)