Question

We have made a table of power of 2

21	2	26	64	211	2048
22	4	27	128	212	4096
23	8	28	256	213	8192
24	16	29	512	214	16384
25	32	210	1024	215	32768

Using it, compute these quotients:

(a) 64 ÷ 16

(b) 512 ÷ 32

(c) 1024 ÷ 128

(d) 16384 ÷ 2048

Answer 1

(i) 64 ÷ 16

= 2⁶÷ 2⁴ (from the table)

= 2^{(6 − 4)}

= 2²

= 4 (from the table)

(ii) 512 ÷ 32

= 2⁹÷ 2⁵ (from the table)

= 2^{(9 − 5)}

= 2⁴

= 16 (from the table)

(iii) 1024 ÷ 128

= 2¹⁰÷ 2⁷ (from the table)

= 2^{(10 − 7)}

= 2³

= 8 (from the table)

(iv) 16384 ÷ 2048

= 2¹⁴÷ 2¹¹ (from the table)

= 2^{(14 − 11)}

= 2³

= 8 (from the table)