If a > 1 and b = 2^(a −1), then 4^a =
Choose the correct option:
A) 16b^2 B) 4b^2 C) b^2 D) b^2/4 E) b^2/16
If a &gt; 1 and b = 2^(a −1), then 4^a   Given a&gt;1, so let's assume a=2   b=2^(a-1) = 2^(2-1) = 2, so b=2   hence, 4^a = 4^2 = 16   only 1 ans. choice can satisfy this:   A) 16b^2 --&gt; clearly &gt; 16   B) 4b^2 --&gt; 4*2^2 = 16(we can stop after this as there can be only 1 right answer)   C) b^2 --&gt; clearly &lt; 16   D) b^2/4 --&gt; clearly &lt; 16   E) b^2/16 --&gt; clearly &lt; 16   Ans. 4b^2) 4b^2
<result>B</result>
If a > 1 and b = 2^(a −1), then 4^a =