Question

2 to the power of 46 is how many times as many as 2 to the power of 42

Answer 1

Answer:

16

Step-by-step explanation:

Answer 2

Answer:

2⁴⁶ is 2⁻⁴ times as many as 2⁴²

Step-by-step explanation:

Given;

2 to the power of 46 = 2⁴⁶

2 to the power of 42 = 2⁴²

Let the number of times = y

2⁴⁶y = 2⁴²

divide both side of the equation by  2⁴⁶

$\frac{2^{46}y}{2^{46}} = \frac{2^{42}}{2^{46}} \\\\y = 2^{42-46}\\\\y = 2^{-4}$

Therefore, 2  to the power of 46 is 2 to the power -4 times as many as 2 to the power of 42. (i.e 2⁴⁶ is 2⁻⁴ times as many as 2⁴²)