Question

13 Calcule o valor de:
a) 271
f) 0,257
b) 2562
c) 325
d) 643
i) 0,505
e) 5767
por FAVOR ˊ▽ˋ​

Answer 1

Resposta:

Propriedade da potência:

${a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{n} }$

$a) {27}^{ \frac{1}{3} } = \sqrt[3]{27} = 3$

$b ) {256}^{ \frac{1}{2} } = \sqrt{256} = 16 \\ c) {32}^{ \frac{1}{5} } = \sqrt[5]{32} = 2 \\ d) {64}^{ \frac{1}{3} } = \sqrt[3]{64} = 4$

$e ) {576}^{ \frac{1}{2} } = \sqrt{576} = 24$

$f) {0.25}^{ \frac{1}{2} } = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}^{ \frac{1}{2} } = \sqrt{ \frac{1}{4} } \\ = \frac{1}{2}$

$g)( \frac{27}{1000})^{ \frac{1}{3} } = \frac{ \sqrt[3]{27} }{ \sqrt[3]{1000} } = \frac{3}{10} \\ h) (\frac{1}{81})^{0.25} = (\frac{1}{81})^{ \frac{25 \div 25}{100 \div 25} } = ( \frac{1}{81})^{ \frac{1}{4} }$

$\sqrt[4]{ \frac{1}{81} } = \frac{1}{3}$