PLEASE HELP!!!! ASAP!!!!!!WILL VOTE BRAINIEST ANSWER!!!!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

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calyn04

Middle School

PLEASE HELP!!!!

ASAP!!!!!!

WILL VOTE BRAINIEST ANSWER!!!!

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

Leave an answer

Our People Answers

1

(Based on todays review)

camillaam

Answer:
Option A and C.
Step-by-step explanation:
Consider the below figure attached with this question.
The given expression is
$3^{\frac{4}{7}}$
The properties of exponent:
$(a^m)^n=a^{mn}$
$\sqrt[n]{x}=x^{\frac{1}{n}}$
Using these properties simplify all expression.
$(\sqrt[7]{3})^4=(3^{\frac{1}{7}})^4=3^{\frac{4}{7}}$
$\sqrt[4]{21}=21^{\frac{1}{4}}\neq 3^{\frac{4}{7}}$
$\sqrt[7]{81}=\sqrt[7]{3^4}=(3^4)^{\frac{1}{7}}=3^{\frac{4}{7}}$
$\sqrt[4]{3^7}=(3^7)^{\frac{1}{4}}=3^{\frac{7}{4}}\neq 3^{\frac{4}{7}}$
$\sqrt[7]{12}=12^{\frac{1}{7}}\neq 3^{\frac{4}{7}}$
$(\sqrt[4]{3})^7=(3^{\frac{1}{4}})^7=3^{\frac{7}{4}}\neq 3^{\frac{4}{7}}$
Therefore, the correct options are A and C.
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erinna

Verified answer

Answer:
I don't think any of them are
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