Question

o valor da expressão 8^1/3+81^1/4-(-5)^2+27^4/3

Answer 1

Resposta:

61

Explicação passo-a-passo:

$8^{\frac{1}{3}}+81^{\frac{1}{4}}-(-5)^{2}+27^{\frac{4}{3}}$

Fatorando o 8, 81 e o 27 fica:

    $8=2^{3}$ ; $81=3^{4}$ ; $27=3^{3}$

Substituindo, fica

$(2^{3)}^{\frac{1}{3}}+(3^{4})^{\frac{1}{4}}-25+(3^{3})^{\frac{4}{3}}$

Multiplique os expoentes

$2^{3.\frac{1}{3}}+3^{4.\frac{1}{4}}-25+3^{3.\frac{4}{3}}$

$2^{\frac{3}{3}}+4^{\frac{4}{4}}-25+3^{\frac{12}{3}}$

$2^{1}+3^{1}-25+3^{4}$

$2+3-25+3.3.3.3$

$2+3-25+81$

$5-25+81$

$-20+81=61$