Question

Simplifique as expressões: *

Answer 1

a)

$\frac{ {10}^{ - 3} \times {10}^{5} }{10 \times {10}^{4} }$

$\frac{ {10}^{2} }{ {10}^{5} }$

$\frac{1}{ {10}^{3} } = \frac{1}{1000}$

b)

$( {7}^{4} \times {7}^{ - 3} \times {7}^{2} ) \div ( {7}^{3} \div {7}^{ - 2} )$

$( {7}^{4 - 3 + 2} ) \div (7 {}^{3 + 2} )$

${7}^{3} \div {7}^{5}$

${7}^{ - 2}$

$\frac{1}{ {7}^{2} } = \frac{1}{49}$

c)

$\frac{ {2}^{ - 3} \times {2}^{5} }{2 \times {2}^{4} }$

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

$\frac{ {2}^{2} }{ {2}^{5} }$

$\frac{1}{ {2}^{3} } = \frac{1}{8}$

d)

$\frac{ { {(x}^{5} )}^{2} \times {( {x}^{2}) }^{3} }{ {x}^{4} }$

$\frac{ {x}^{5 \times 2} \times {x}^{2 \times 3} }{ {x}^{4} }$

$\frac{x {}^{10} \times {x}^{6} }{ {x}^{4} }$

$\frac{ {x}^{16} }{x {}^{4} }$

${x}^{12}$