Question

Simplify : ⁴√28 ÷ ³√7

Answer 1

Explanation:

FIRST ANSWER - CORRECT ANSWER - WITH EXPLANATION.

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Answer 2

⁴√28 ÷ ³√7  = √2 * 7^(-1/12)

Explanation:

⁴√28 ÷ ³√7

⁴√28 ÷ ³√7. Multiplying both numerator and denominator by ³√7², we get:

= (⁴√28 * ³√7² ) / (³√7 * ³√7²)  

= (⁴√28 * ³√7² ) / (³√7³)  

= (⁴√28 * ³√7² ) / 7  

=  ⁴√28 * ³√7²  

= 4^(1/4) * 7^(1/4) * (7²)^(1/3) * 7^(-1)

= (2²)^(1/4) * 7^(1/4) * (7²)^(1/3) * 7^(-1)

= √2 * 7^(1/4 + 2/3 -1)

= √2 * 7^(-1/12)