Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-22 = (2•5)^(-22) = (2)^(-22) • (5)^(-22)

Equation at the end of step  1  :

  032
  ——— • ((2)(-22)•(5)(-22)))
  (10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

  16
  —— • ((2)(-22)•(5)(-22)))
  (5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5²²   = 5^{(1 + 22)} = 5²³

Dividing exponents :

 3.2    2⁴   divided by   2²²   = 2^{(4 - 22)} = 2^(-18) = ¹/_2¹⁸

Equation at the end of step  3  :

   450001  
  —————————
  (523•218) 

Step  4  :

                        1    
 Divide  45000  by  —————————
                    (523•218) 

Multiplying exponents :

 4.1    2³  multiplied by  2¹⁸   = 2^{(3 + 18)} = 2²¹

Multiplying exponents :

 4.2    5⁴  multiplied by  5²³   = 5^{(4 + 23)} = 5²⁷

Final result :

  (221•32•527)