Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2³  multiplied by  2⁶   = 2^{(3 + 6)} = 2⁹

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  3  :

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁹   = 2^{(1 + 9)} = 2¹⁰

Equation at the end of step  4  :

Step  5  :

            (210•3•59)
 Simplify   ——————————
             (29•56)  

Dividing exponents :

 5.1    2¹⁰   divided by   2⁹   = 2^{(10 - 9)} = 2¹ = 2

Dividing exponents :

 5.2    5⁹   divided by   5⁶   = 5^{(9 - 6)} = 5³

Final result :

  750