## Algebra 1

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.
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 . . .