Question

The following table gives some of the powers of 2.

Can you compute the products using the table.

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

(i) 16 × 64

(ii) 32 × 512

(iii) 64 × 256

(iv) 128 × 256

Answer 1

(i) 16 × 64

= 2⁴× 2⁶ (from the table)

= 2^{(4 + 6)} {x^m× xⁿ = x^{(m + n)}}

= 2¹⁰

= 1024 (from the table)

(ii) 64 × 256

= 2⁶× 2⁸ (from the table)

= 2^{(6 + 8)} {x^m× xⁿ = x^{(m + n)}}

= 2¹⁴

= 16384 (from the table)

(iii) 32 × 512

= 2⁵× 2⁹ (from the table)

= 2^{(5 + 9)} {x^m× xⁿ = x^{(m + n)}}

= 2¹⁴

= 16384 (from the table)

(iv) 128 × 256

= 2⁷× 2⁸ (from the table)

= 2^{(7 + 8)} {x^m× xⁿ = x^{(m + n)}}

= 2¹⁵

= 32768 (from the table)