Question

Write each of the following numbers as a power with an exponent to the base 2:

Answer 1

Powers of 2 are ...

... (x, 2^x) ∈ {(0, 1), (1, 2), (2, 4), (3, 8), (4, 16), (5, 32), (6, 64), (7, 128), (8, 256), (9, 512), (10, 1024)}

By the rules of exponents, ...

... 1/a^b = a^-b

Using the above table, ...

a) 1 = 2^0

b) 1/4 = 2^-2

c) 1/64 = 2^-6

d) 1/256 = 2^-8

e) 64 = 2^6

f) 1/16 = 2^-4

g) 256 = 2^8

h) 1/1024 = 2^-10

Answer 2

Answer:

a) 1  = 2^0

b) 1/4  = 2^-2

c) 1/64  =  2^-6

d) 1/256  =  2^-8

e) 64  = 2^6

f) 1/16  = 2^-4

g) 256  = 2^8

h) 1/1024 = 2^-10

Step-by-step explanation:

1 /a^b = a^ -b   and a^0 =1

a) 1  = 2^0

b) 1/4  = 1/2^2 = 2^-2

c) 1/64  = 1/ 2^6 = 2^-6

d) 1/256  = 1/2^8 = 2^-8

e) 64  = 2^6

f) 1/16  =1/2^4 = 2^-4

g) 256  = 2^8

h) 1/1024 =1/ 2^10  = 2^-10