Answer
a) 2
b)
# folds # layers
1 2
2 4
3 8
4 16
5 32
c)
# folds # layers
1 $2^1$
2 $2^2$
3 $2^3$
4 $2^4$
5 $2^5$
d) $y =2^x$
e) 4096
f) 8 folds
g) No. 144 is not a power of 2.
Work Step by Step
a) $1*2=2$
b) $1*2=2$
$2*2 =4$
$4*2 = 8$
$8*2=16$
$16*2 =32$
c)
$2^1 =2$
$2^2 = 4$
$2^3 = 8$
$2^4 = 16$
$2^5 = 32$
d) The exponent is $x$.
e) $2^{12} = 4^6$
$4^6 = 16^3$
$16^3= 64*64 = 4096$
f) $2^8 = 256$
g) The powers of 2 are as follows: 2, 4, 8, 16, 32, 64, 128, 256 . . .
