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

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2¹   divided by   2⁷   = 2^{(1 - 7)} = 2^(-6) = ¹/_2⁶

Equation at the end of step  2  :

  8))3 
  ———————
  (26•57)

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

  8))3 
  ———————
  (26•57)

Step  4  :

Equation at the end of step  4  :

  8)3 
  ———————
  (26•57)

Step  5  :

                           3   
 Divide  (3•28•58)  by  ———————
                        (26•57)

Multiplying exponents :

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

Multiplying exponents :

 5.2    5⁸  multiplied by  5⁷   = 5^{(8 + 7)} = 5¹⁵

Canceling Out :

 5.3      Canceling out  3  as it appears on both sides of the fraction line

Final result :

  (214•515)