Question

Номер 57, помогите!!

Answer 1

1)
${2}^{2} \times {2}^{3} = {2}^{2 + 3} = {2}^{5} = 32$
2)
${3}^{15} \div {3}^{11} = {3}^{15 - 11} = {3}^{4} = 81$
3)
${5}^{9} \times {5}^{3} \div {5}^{10} = {5}^{9 + 3 - 10} = {5}^{2} = 25$
4)
${11}^{11} \div {11}^{10} \times 11 = {11}^{11 - 10 + 1} = {11}^{2} = 121$
5)
${(1\frac{11}{13}) }^{17} \div {(1 \frac{11}{13}) }^{16} \times 1 \frac{11}{13} = {( \frac{24}{13}) }^{17} \div {( \frac{24}{13}) }^{16} \times \frac{24}{13} = { \frac{24}{13} }^{17 - 16} \times \frac{24}{13} = {( \frac{24}{13}) }^{2} = \frac{576}{169}$
6)
$\frac{ {7}^{15} \div {7}^{12} }{ {7}^{2} } = \frac{ {7}^{3} }{ {7}^{2} } = {7}^{3 - 2} = 7$
7)
$\frac{ {(0.2)}^{14} \times {(0.2)}^{9} }{ {(0.2)}^{15} \times {(0.2)}^{6} } = \frac{ {0.2}^{23} }{ {0.2}^{21} } = {0.2}^{23 - 21} = {0.2}^{2} = 0.04$
8)
${3}^{2} \times 81 = {3}^{2} \times {3}^{4} = {3}^{2 + 4} = {3}^{6} = 729$
9)
$256 \div {2}^{5} \times {2}^{2} = {2}^{8} \div {2}^{5} \times {2}^{2} = {2}^{8 - 5 + 2} = {2}^{5} = 32$
10)
$\frac{ {6}^{7} }{ {6}^{3} \times 216 } = \frac{ {6}^{4} }{ {6}^{3} } = {6}^{4 - 3} = 6$