select the correct answer.

which expression is equivalent to $\sqrt6{g^5}$ if $g 0$?

$g^{\frac{6}{5}}$

$5g^6$

$\frac{5}{6}g$

$g^{\frac{5}{6}}$

Question

select the correct answer.

which expression is equivalent to $\sqrt6{g^5}$ if $g > 0$?

$g^{\frac{6}{5}}$

$5g^6$

$\frac{5}{6}g$

$g^{\frac{5}{6}}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules", "Simplifying Radical Expressions" ], "new_concepts": [], "current_concepts": [ "Exponent Rules", "Simplifying Radical Expressions" ] } ## Apply the definition of rational exponents $$ \sqrt[n]{a^m} = a^{\frac{m}{n}} $$ ## Convert the given radical expression $$ \sqrt[6]{g^5} = g^{\frac{5}{6}} $$

(A) $g^{\frac{6}{5}}$

(B) $5g^6$

(C) $\frac{5}{6}g$

(D) $g^{\frac{5}{6}}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the definition of rational exponents

Convert the given radical expression

Answer: