Question

URGENTE
calcule o valor das expressões numéricas e simplifique o resultado se possível :
a)3⁻² + 2⁻³
b)5²+2⁴.4⁻¹
c)1/4.2/5
d)10⁶/10⁴. 10/10³
e)1/3 + 1/5
g)m² : m³₄

Answer 1

a)

${3}^{ - 2} + {2}^{ - 3} \\ \frac{1}{ {3}^{2} } + \frac{1}{ {2}^{3} } \\ \frac{1}{9} + \frac{1}{8} \\ \frac{8 + 9}{72} \\ \frac{17}{72}$

b)

$5 ^{2} + {2}^{4} \times {4}^{ - 1} \\ 25 + 16 \times \frac{1}{4} \\ 25 + \frac{16}{4} \\ 25 + 4 \\ 29$

c)

${3}^{5} \times {3}^{4} \div {3}^{7} \\ {3}^{9} \div {3}^{7} \\ {3}^{2} = 9$

d)

$\frac{1}{4} \times \frac{2}{5} \\ \frac{2}{20} = \frac{1}{10}$

e)

$\frac{ {10}^{6} \times 10}{ {10}^{4} \times {10}^{3} } \\ \frac{ {10}^{7} }{ {10}^{7} } \\ {10}^{0} = 1$

f)

$\frac{1}{3} + \frac{1}{5} \\ \frac{5 + 3}{15} \\ \frac{8}{15}$

g)

$m ^{2} \div m^{ \frac{3}{4} } \\ m^{2 - \frac{3}{4} } \\ m^{ \frac{8 - 3}{4} } = {m}^{ \frac{5}{4} } \\ \sqrt[4]{ {m}^{5} } = m\sqrt[4]{m}$