what is $\sqrt4{7^3}$ in exponential form?

$7^{\frac{3}{4}}$

$7^{\frac{4}{3}}$

$7^{\frac{1}{12}}$

Question

what is $\sqrt4{7^3}$ in exponential form?

$7^{\frac{3}{4}}$

$7^{\frac{4}{3}}$

$7^{\frac{1}{12}}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Radical to Exponential Form" ], "new_concepts": [], "current_concepts": [ "Radical to Exponential Form", "Rational Exponents" ] } ## Identify the radical expression Using the *Radical to Exponential Form* knowledge point $$ \sqrt[4]{7^3} $$ ## Apply the rational exponent rule Using the *Radical to Exponential Form* knowledge point $$ \sqrt[n]{a^m} = a^{\frac{m}{n}} $$ $$ \sqrt[4]{7^3} = 7^{\frac{3}{4}} $$

(A) $7^{\frac{4}{3}}$

(B) $7^{\frac{3}{4}}$

(C) $7^{-\frac{3}{4}}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Radical to Exponential Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the radical expression

Apply the rational exponent rule

Answer: