Question

1. (3)
$4 ^4 = 4 ^{ k - 2}$
​

Answer 1

Step-by-step explanation:

${4}^{4} = {4}^{k - 2}$

Since the bases are the same, set the exponents equal

$4 = k - 2$

Move variables to the left-hand side and change its sign

$- k + 4 = - 2$

Move constant to the right-hand side and change its sign

$- k = - 2 - 4$

Calculate the difference

$- k = - 6$

Change the signs on both sides of the equation

Solution :

$k = 6$

Here is your answer...