Question

Can someone please help me in this question.

Write each of these numbers as powers of 2.
a) 8
b) 32
c) 256
d)

`((5x2^(3)))/(64)`
e)

`16 - ( - 2)^(3)`

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Answer 1

a)
`2^(3)`

b)
`2^(5)`

c)
`2^(8)`

d)
`(5)/(2^(3) )`

e)
`2^(4) + 2^(3)`

Explanation:

a) 8 = 2 x 2 x 2

b) 32 = 2 x 2 x 2 x 2 x 2

c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

d) 5 x 2^3 / 64 = 5 x 8 / 64

= 40/64

= 5/8

=
`(5)/(2^(3) )`

e) 16 - (-2)^3 = 16 - (-8)

= 16 + 8

=
`2^(4) + 2^(3)`