Question

PLEASE HELP!!!! ASAP!!!

Answer 1

Answer:

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:

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

Answer 2

Answer:

A and C

Step-by-step explanation: