Radical expressions and rational exponents

A rational exponent means the same thing as a radical: 5^(1/3) is the cube root of 5, since (5^(1/3))^3 must equal 5^1 for the exponent rules to keep working. For a cleaner whole-number check of the same rule, 8^(1/3) = 2, since 2^3 = 8, and you can rewrite any radical expression using rational-exponent notation, or the reverse, using the same properties of exponents you already know.

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