Powers and Roots Practice Test 4

© examsiri.com

Question : 12 of 40

Marks: +1, -0

The largest power of 2 that divides

(2^2008 + 10^2008)

is:

$2^2008$
$2^2009$
$2^2010$
$2^2011$

Solution:

(2^2008 + 10^2008)

=(2^2008 + 2^2008 . 5^2008)

= 2^2008 (1+ 5^2008)

So, the largest powers of 2 that divides

(2^2008 + 10^2008)

is equal to

2^2008

.

© examsiri.com

Go to Question:

Prev Question

Next Question