Write the following numbers in powers of $2$ .
(i) $2$ (ii) $8$ (iii) $32$ (iv) $128$ (v) $256$

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Solution

(i) $2 = 2^{1}$
(ii) $8 = 2 \times 2 \times 2 = 2^{3}$
(iii) $32 = 2 \times 2 \times 2 \times 2 \times 2 = 2^{5}$
(iv) $128 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{7}$
(v) $256 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{8}$

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Similar questions

The following table gives some of the powers of 2.

Can you compute the products using the table.

(i) 16 × 64

(ii) 32 × 512

(iii) 64 × 256

(iv) 128 × 256

8^{3} = 512

32^{3 / 5} = 8

7^{- 2} = \frac{1}{49}

10^{- 2} = 0.01

\frac{11}{3}

\frac{5}{13}

\frac{6}{7}

Which of the following numbers are notperfect cubes?

(i) 216

(ii) 128

(iii) 1000

(iv) 100

(v) 46656

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