Question

СРОООЧНОООО.....
БУДЬ ЛАСКА ​

Answer 1

$a) \: \: \: \: \: {7}^{ - 3} = \frac{1}{ {7}^{3} } \: \: \: \: \: \: \: \: \: \:✔️ \:$

$b) \: \: \: \: \: {5}^{ - 2} = - \frac{1}{ {5}^{2} } \: \: \: \: \: \: \: \: \: \: ❌$

$c) \: \: \: \: \: {8}^{ - 4} = { - 8}^{4} \: \: \: \: \: \: \: \: \: \: ❌$

$d) \: \: \: \: \: {9}^{0} = 0 \: \: \: \: \: \: \: \: \: \: ❌$

${x}^{0} \times { {(x}^{3} )}^{ - 4} \div {x}^{6} = 1 \times {x}^{ - 12} \div {x}^{6} = {x}^{ - 18}$

$a) \: \: \: \: \: (1.5 \times {10}^{ - 7}) \times (8 \times {10}^{ - 2} ) = 1.5 \times {10}^{ - 7} \times 8 \times {10}^{ - 2} = 1.5 \times 8 \times {10}^{ - 9} = \frac{12}{ {10}^{9} } = \frac{2 \times 2 \times 3}{10 \times 10 \times {10}^{7} } = \frac{3}{25 \times {10}^{7} }$

$b) \: \: \: \: \: (1.2 \times {10}^{5} ) \times (2.4 \times {10}^{ - 7} ) = 1.2 \times {10}^{8} \times 2.4 \times {10}^{ - 7} = 2.88 \times 10 = 28.8$

$c) \: \: \: \: \: 3.7 \times {10}^{7} \times 2.9 \times {10}^{7} = 10.73 \times {10}^{14}$

$- \frac{6}{x} = 5 - x \\ - 6 = 5x - {x}^{2} \\ {x}^{2} - 5x - 6 = 0 \\ x1 + x2 = - 5\\ x1 \times x2 = - ( - 6) \\ \\ x1 = - 2 \: \: \: \: \: x2 = - 3$