Question

Решите внятно и понятно! 15б!

Answer 1

$\frac{16^{-2}*2^{5}}{8^{-3}}=\frac{8^{3}*2^{5}}{16^{2}}=\frac{2^{9}*2^{5}}{2^{8}}=2^{6}=64$

$\frac{9x^{10}}{9x^{2}*x^{6}}=x^{2} \\ \\ x=3,5 -->x^{2}=12,25$

Answer 2

А7)

$\frac{ {16}^{ - 2} \times {2}^{5} }{ {8}^{ - 3} } = \frac{ { ({2}^{4}) }^{ - 2} \times {2}^{5} }{ { ({2}^{3}) }^{ - 3} } = \frac{ {2}^{ - 8} \times {2}^{5} }{ {2}^{ - 9} } = \frac{ {2}^{ - 3} }{ {2}^{ - 9} } = {2}^{ - 3 - ( - 9)} = {2}^{6} = 64$

ОТВЕТ: 64


А8)

$\frac{ 9 {x}^{10} \times {(3x)}^{ - 2} }{ { ({x}^{ - 3}) }^{ - 2} } = \frac{9 {x}^{10} \times \frac{1}{9 {x}^{2} } }{ {x}^{6} } = \frac{ \frac{9 {x}^{10} }{9 {x}^{2} } }{ {x}^{6} } = \\ \\ = \frac{ {x}^{8} }{ {x}^{6} } = {x}^{8 - 6} = {x}^{2}$

При х = 3,5

${x}^{2} = {3.5}^{2} = 12.25$


ОТВЕТ: 12,25