Question

calcule:
b)81¼
c)81-¼
d)256¼​

Answer 1

Explicação passo-a-passo:

Calcule

$b)\\ \\ 81^{1\over4}=\sqrt[4]{81} =\sqrt[4]{3^4} =3\\ \\ ou\\ \\ 81^{1\over4}=(3^4)^{1\over4}=3^{4\over4}=3\\ \\ c)\\ \\ 81^{-{1\over4}}={1\over81^{1\over4}}={1\over\sqrt[4]{81} }={1\over\sqrt[4]{3^4} }={1\over3}\\ \\ d)\\ \\ 256^{1\over4}=\sqrt[4]{256} =\sqrt[4]{2^8} =2^2=4\\ \\ ou\\ \\ (2^8)^{1\over4}=2^{8\over4}=2^2=4$