Question

3¹⁵ ÷ 3¹¹ и так далее

Answer 1

Объяснение:

$1. \: 1) \: {3}^{15} \div {3}^{11} = {3}^{4} = 81 \\ 2) \: {2}^{5} \times {2}^{4} = {2}^{9} = 512 \\ 3) \: \frac{ {7}^{15} \div {7}^{12} }{ {7}^{2} } = \frac{ {7}^{3} }{ {7}^{2} } = {7}^{1} = 7$

$2. \: 1) \: {( {y}^{4}) }^{3} = {y}^{12} \\ 2) \: {( {m}^{5} )}^{4} = {m}^{20} \\ 3) \: {a}^{32} \div {( {a}^{9} )}^{3} \times a = {a}^{32} \div {a}^{27} \times a = \\ = {a}^{5} \times a = {a}^{6}$

$3. \: 1) \: - 2 \frac{2}{3} {m}^{4} \times 9m {n}^{3} = - 24 {m}^{4} {n}^{3} \\ 2) - 3 {a}^{2} \times 0.2a {b}^{4} \times ( - 10b) = 6 {a}^{3} {b}^{5} \\ 3) \: - 15 {a}^{2} \times 0.2 {a}^{5} {b}^{3} \times ( - 3c) = \\ = 9 {a}^{7} {b}^{3} c$

$4. \: 1) \: - 2.4 {a}^{7} {b}^{2} \times 3.5a {b}^{4} = 8.4 {a}^{8} {b}^{6} \\ 2) \: - 14 {a}^{7} {b}^{3} {c}^{11} \times 2 \frac{3}{7} b {c}^{4} = \\ = - 34 {a}^{7} {b}^{4} {c}^{15}$

$5. \: 1) \: {( - \frac{1}{5} {m}^{3} {b}^{2} )}^{3} = - \frac{1}{125} {m}^{9} {b}^{6 \\ } \\ 2) \: {(1 \frac{1}{5} {p}^{12} {q}^{6} )}^{2} = 1 \frac{11}{25} {p}^{24} {q}^{12}$

$6. \: 1) \: 3 \frac{1}{2} {x}^{4} y \times {( \frac{4}{7} {x}^{2} {y}^{3} )}^{2} = 3 \frac{1}{2} {x}^{4} y \times \\ \times \frac{16}{49} {x}^{4} {y}^{6} = 1 \frac{1}{7} {x}^{8} {y}^{7}$