Question

PLEASE HELP!!!! ASAP!!!

20 POINTS!!!!


Select all radical expressions that are equivalent to 347 .

(3√7)4

21−−√4

81−−√7

(3√4)7

12−−√7

37−−√4

Answer 1

A and C

Explanation:

Answer 2

A and C

Explanation:

Rewriting for the sake of clarity:

Select all radical expressions that are equivalent to
`3^{(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^{(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^{(4)/(7)}=\sqrt[7]{3^(4)}=\sqrt[4]{21}`