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
[tex]\frac{2^{46}y}{2^{46}} = \frac{2^{42}}{2^{46}} \\\\y = 2^{42-46}\\\\y = 2^{-4}[/tex]
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)
