Question

1) 2*2⁶ 2) 2⁴*2³*2⁷ 3) 8*2⁷ 4) 16*2⁵ запишите в виде степени с основателем 2​

Answer 1

Ответ:

$1)2 \times {2}^{6} = {2}^{1 + 6} = {2}^{7} \\ 2) {2}^{4} \times {2}^{3} \times {2}^{7} = {2}^{4 + 3 + 7} = {2}^{14} \\ 3)8 \times {2}^{7} = {2}^{3} \times {2}^{7} = {2}^{3 + 7} = {2}^{10} \\ 4)16 \times {2}^{5} = {2}^{4} \times {2}^{5} = {2}^{4 + 5} = {2}^{9}$

Answer 2

Подробное решение в фото

Answer 3

1) To solve the expression 2*2⁶ + 2, we can simplify it step by step. First, we calculate 2⁶, which is equal to 64. Then, we multiply 64 by 2, resulting in 128. Therefore, the answer to the expression 2*2⁶ + 2 is 128 + 2, which equals 130.

2) The expression 2⁴*2³*2⁷ can be simplified by calculating each exponent separately. First, we calculate 2⁴, which is equal to 16. Then, we calculate 2³, which is equal to 8. Finally, we calculate 2⁷, which is equal to 128. To find the answer to the expression 2⁴*2³*2⁷, we multiply 16, 8, and 128 together, resulting in 16 * 8 * 128 = 16,384.

3) The expression 8*2⁷ can be simplified by calculating 2⁷, which is equal to 128. Then, we multiply 8 by 128, resulting in 8 * 128 = 1,024.

4) To solve the expression 16*2⁵, we first calculate 2⁵, which is equal to 32. Then, we multiply 16 by 32, resulting in 16 * 32 = 512.

To write these expressions in the form of powers with a base of 2, we can rewrite them as follows:

1) 2*2⁶ + 2 = 2⁷ + 2 2) 2⁴*2³*2⁷ = 2¹⁴ * 2⁷ = 2²¹ 3) 8*2⁷ = 2³ * 2⁷ = 2¹⁰ 4) 16*2⁵ = 2⁴ * 2⁵ = 2⁹

I hope this helps! Let me know if you have any further questions.