Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-15" was replaced by "^(-15)".

(2): "3.2" was replaced by "(32/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

      32
  (0-(——•(10-15)))•(4•(29•59))
      10

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁹   = 2^{(2 + 9)} = 2¹¹

Equation at the end of step  2  :

         32
  (0 -  (—— • (10-15))) • (211•59)
         10

Step  3  :

 3.1     10 = 2•5

(10)^-15 = (2•5)^(-15) = (2)^(-15) • (5)^(-15)

Equation at the end of step  3  :

         32
  (0 -  (—— • ((2)(-15)•(5)(-15)))) • (211•59)
         10

Step  4  :

            16
 Simplify   ——
            5 

Equation at the end of step  4  :

         16
  (0 -  (—— • ((2)(-15)•(5)(-15)))) • (211•59)
         5 

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5¹⁵   = 5^{(1 + 15)} = 5¹⁶

Dividing exponents :

 5.2    2⁴   divided by   2¹⁵   = 2^{(4 - 15)} = 2^(-11) = ¹/_2¹¹

Equation at the end of step  5  :

            1    
  (0 -  —————————) • (211•59)
        (516•211) 

Step  6  :

Canceling Out :

 6.1      Canceling out  2¹¹ as it appears on both sides of the fraction line

Dividing exponents :

 6.2    5⁹   divided by   5¹⁶   = 5^{(9 - 16)} = 5^(-7) = ¹/_5⁷

Final result :

  -1            
  —— = -0.00001 
  57