Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

  8))3 
  ———————
  (26•56)

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

  8))3 
  ———————
  (26•56)

Step  4  :

Equation at the end of step  4  :

  8)3 
  ———————
  (26•56)

Step  5  :

                            3   
 Divide  (32•28•58)  by  ———————
                         (26•56)

Multiplying exponents :

 5.1    2⁸  multiplied by  2⁶   = 2^{(8 + 6)} = 2¹⁴

Multiplying exponents :

 5.2    5⁸  multiplied by  5⁶   = 5^{(8 + 6)} = 5¹⁴

Dividing exponents :

 5.3    3²   divided by   3¹   = 3^{(2 - 1)} = 3¹ = 3

Final result :

  (3•214•514)