Question

Помогите пожалуйста, 35 баллов

Answer 1

Ответ:

$1. \\ a) \frac{ {8}^{16} \times {8}^{5} }{ {8}^{18} } = {8}^{ 16 + 5 - 18 } = {8}^{3} = 512 \\ b) \frac{ {( - 2)}^{7} \times {( - 2)}^{4} }{ {( - 2)}^{8} } = {( - 2)}^{ 7 + 4 - 8 } = {( - 2)}^{3} = - 8$

$2.a) {a}^{14} \div {a}^{9} \times {a}^{5} = {a}^{14 - 9 + 5} = {a}^{10} \\ b) {c}^{22} \times ( {c}^{18} \div {c}^{9} ) = {c}^{22 + (18 - 9)} = {c}^{31} \\ c) { ({d}^{3}) }^{7} \div { ({d}^{3}) }^{6} = {d}^{3 \times 7 - 3 \times 6} = {d}^{3}$

$3.a) {( \frac{ {x}^{3} {x}^{4} }{ {x}^{5} } )}^{ - 6} = {( {x}^{3 + 4 - 5}) }^{ - 6} = {( {x}^{2}) }^{ - 6} = {x}^{ - 12} = \frac{1}{ {x}^{12} } \\ b) {( \frac{1}{ {x}^{ - 8} }) }^{6} = {( {x}^{8} )}^{6} = {x}^{48}$

$\frac{10 - 3m}{m + 2} - \frac{6 - 5m}{m + 2} + \frac{m}{m + 2} \times \frac{ {m}^{2} - 4 }{m} = \frac{10 - 3m}{m + 2} - \frac{6 - 5m}{m + 2} + m - 2 = \frac{10 - 3m - 6 + 5m + {m}^{2} +2m - 2m - 4 }{m + 2} = \frac{ {m}^{2} + 2m + 0 }{m + 2} = \frac{m(m + 2)}{m + 2} = m$