Mathematics

Mathematics

Problem

Fill in the blank: If 73=3437^{3}=343, then 77 is the ______ root of 343343.
Intuitive explanation

The core concept here is roots as the inverse of exponents. Since raising 77 to the power of 33 gives you 343343, you're looking for the name of the operation that reverses this—the one that asks "what number, when multiplied by itself three times, equals 343343?" That's your answer: the type of root is determined by the exponent.

Intuitive explanation

The core concept here is roots as the inverse of exponents. Since raising 77 to the power of 33 gives you 343343, you're looking for the name of the operation that reverses this—the one that asks "what number, when multiplied by itself three times, equals 343343?" That's your answer: the type of root is determined by the exponent.

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