Question

matemática complicada me ajudaaaaa

Answer 1

a)

$\frac{( \frac{1}{2} {)}^{3} \times {( \frac{1}{2} )}^{ - 2} }{ { (\frac{1}{2} )}^{ - 6} } = \frac{ {( \frac{1}{2} )}^{1} }{ { (\frac{1}{2} )}^{ - 6} } = {( \frac{1}{2}) }^{7} = {2}^{ - 7}$

b)

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

c)

$\frac{ {x}^{10} \times ( {x}^{2} {)}^{4} }{ {x}^{ - 3} \div {x}^{2} } = \frac{ {x}^{10} \times {x}^{8} }{ {x}^{ - 5} } = \frac{ {x}^{18} }{ {x}^{ - 5} } = {x}^{23}$

d)

$\frac{ {5}^{3x - 2} \times {5}^{x - 1} }{ {5}^{x - 5} } = \frac{ {5}^{4x - 3} }{ {5}^{x - 5} } = {5}^{3x + 2}$