Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)³ = (2²)³ = 2⁶

Equation at the end of step  1  :

          (44)
  ((46) • ————) • 2
           26 

Step  2  :

 2.1     4 = 22

(4)⁴ = (2²)⁴ = 2⁸

Equation at the end of step  2  :

          28
  ((46) • ——) • 2
          26

Step  3  :

            28
 Simplify   ——
            26

Raising to a Power :

 3.1    2⁸   divided by   2⁶   = 2^{(8 - 6)} = 2²

Equation at the end of step  3  :

  ((46) • 4) • 2

Step  4  :

 4.1     4 = 22

(4)⁶ = (2²)⁶ = 2¹²

Equation at the end of step  4  :

  (212 • 4) • 2

Step  5  :

Multiplying exponents :

 5.1    2¹²  multiplied by  2²   = 2^{(12 + 2)} = 2¹⁴

Equation at the end of step  5  :

  214 • 2

Step  6  :

Multiplying exponents :

 6.1    2¹⁴  multiplied by  2¹   = 2^{(14 + 1)} = 2¹⁵

Final result :

  215