15 select all radical expressions that are equivalent

Ответ:

xxaurorabluexx

07.01.2022

Mathematics

A and C

Step-by-step explanation:

Rewriting for the sake of clarity:

Select all radical expressions that are equivalent to $3^{\frac{4}{7}}$

$a)(\sqrt[7]{3^{4}})\\b)\sqrt[4]{21}\\c)\sqrt[7]{81}\\d)\sqrt[4]{3^{7}}\\e)\sqrt[7]{12}\\f)\sqrt[4]{3^{7}}$

1) According to the Exponents Law, when we have a fraction as an exponent the numerator of it will be the radicand's exponent and the denominator will be the index of it.

$3^{\frac{4}{7}}=(\sqrt[7]{3^{4}})$

2) We can raise the 3 to the 4th power. And rewrite the radicand as the result of that:

$3^{\frac{4}{7}}=\sqrt[7]{3^{4}}=\sqrt[4]{21}$

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15

select all radical expressions that are equivalent to 347 .
(3√7)4
21−−√4
81−−√7
(3√4)7
12−−√7
37−−√4

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15 select all radical expressions that are equivalent to 347 . (3√7)4 21−−√4 81−−√7 (3√4)7 12−−√7 37−−√4

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15

select all radical expressions that are equivalent to 347 .
(3√7)4
21−−√4
81−−√7
(3√4)7
12−−√7
37−−√4