Question

Записати вирази у вигляді степеня: 1)3^7 х 3^10; 2)4^ 12 : 4^ 2; 3) (a^4)^2; 4)3^14 x 2 ^ 14.

Answer 1

Ответ:

${3}^{7} \times {3}^{10} = {3}^{7 + 10} = {3}^{17} \\ {4}^{12} \div {4}^{2} = {4}^{12 - 2} = {4}^{10} \\ {( {a}^{4}) }^{2} = {4}^{4 \times 2} = {4}^{8} \\ {3}^{14} \times {2}^{14} = {(3 \times 2)}^{14} = {6}^{14}$

Answer 2

1. 3^7 x 3^10 = 3^(7+10) = 3^17
2. 4^12 : 4^2 = 4^(12-2) = 4^10
3. (a^4)^2 = a^(4*2) = a^8
4. 3^14 x 2^14 = (3x2)^14 = 6^14