Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-48" was replaced by "^(-48)".

Step  1  :

 1.1     10 = 2•5

(10)^-48 = (2•5)^(-48) = (2)^(-48) • (5)^(-48)

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    5¹   divided by   5⁴⁸   = 5^{(1 - 48)} = 5^(-47) = ¹/_5⁴⁷

Equation at the end of step  2  :

  8))1 
  —————————
  (248•547) 

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

  8))1 
  —————————
  (248•547) 

Step  4  :

Equation at the end of step  4  :

  58)1 
  —————————
  (248•547) 

Step  5  :

                            1    
 Divide  (3•28•58)  by  —————————
                        (248•547) 

Multiplying exponents :

 5.1    2⁸  multiplied by  2⁴⁸   = 2^{(8 + 48)} = 2⁵⁶

Multiplying exponents :

 5.2    5⁸  multiplied by  5⁴⁷   = 5^{(8 + 47)} = 5⁵⁵

Final result :

  (3•256•555)