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Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent:
Hence, ∛27 =
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the <u><em>multiplicative inverse</em></u> of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.